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121233420 = 223257118747
BaseRepresentation
bin1110011100111…
…10000000001100
322110010021222200
413032132000030
5222013432140
620010241500
73001316130
oct716360014
9273107880
10121233420
1162484510
1234726290
131c169469
141215b3c0
15a99b030
hex739e00c

121233420 has 144 divisors (see below), whose sum is σ = 458535168. Its totient is φ = 25188480.

The previous prime is 121233401. The next prime is 121233421. The reversal of 121233420 is 24332121.

121233420 is a `hidden beast` number, since 1 + 212 + 33 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 121233393 and 121233402.

It is not an unprimeable number, because it can be changed into a prime (121233421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9487 + ... + 18233.

It is an arithmetic number, because the mean of its divisors is an integer number (3184272).

Almost surely, 2121233420 is an apocalyptic number.

121233420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229267584).

121233420 is an abundant number, since it is smaller than the sum of its proper divisors (337301748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121233420 is a wasteful number, since it uses less digits than its factorization.

121233420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8780 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 121233420 is about 11010.6048880159. The cubic root of 121233420 is about 494.9265884397.

Adding to 121233420 its reverse (24332121), we get a palindrome (145565541).

The spelling of 121233420 in words is "one hundred twenty-one million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 8747 13860 17494 26241 34988 43735 52482 61229 78723 87470 96217 104964 122458 131205 157446 174940 183687 192434 244916 262410 288651 306145 314892 367374 384868 393615 481085 524820 551061 577302 612290 673519 734748 787230 865953 918435 962170 1102122 1154604 1224580 1347038 1443255 1574460 1731906 1836870 1924340 2020557 2204244 2694076 2755305 2886510 3367595 3463812 3673740 4041114 4329765 5510610 5773020 6061671 6735190 8082228 8659530 10102785 11021220 12123342 13470380 17319060 20205570 24246684 30308355 40411140 60616710 121233420