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121302132 = 223731371259
BaseRepresentation
bin1110011101011…
…10110001110100
322110020210020120
413032232301310
5222023132012
620011531540
73002023350
oct716566164
9273223216
10121302132
11625210a6
1234759bb0
131c191813
1412178460
15a9b158c
hex73aec74

121302132 has 96 divisors (see below), whose sum is σ = 343203840. Its totient is φ = 32607360.

The previous prime is 121302127. The next prime is 121302179. The reversal of 121302132 is 231203121.

It is a super-3 number, since 3×1213021323 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95719 + ... + 96977.

It is an arithmetic number, because the mean of its divisors is an integer number (3575040).

Almost surely, 2121302132 is an apocalyptic number.

121302132 is a gapful number since it is divisible by the number (12) 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 121302132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

121302132 is an abundant number, since it is smaller than the sum of its proper divisors (221901708).

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

121302132 is a wasteful number, since it uses less digits than its factorization.

121302132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 121302132 is about 11013.7247105600. The cubic root of 121302132 is about 495.0200746884.

Adding to 121302132 its reverse (231203121), we get a palindrome (352505253).

It can be divided in two parts, 121 and 302132, that added together give a triangular number (302253 = T777).

The spelling of 121302132 in words is "one hundred twenty-one million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 37 42 62 74 84 93 111 124 148 186 217 222 259 372 434 444 518 651 777 868 1036 1147 1259 1302 1554 2294 2518 2604 3108 3441 3777 4588 5036 6882 7554 8029 8813 13764 15108 16058 17626 24087 26439 32116 35252 39029 46583 48174 52878 78058 93166 96348 105756 117087 139749 156116 186332 234174 273203 279498 326081 468348 546406 558996 652162 819609 978243 1092812 1304324 1444073 1639218 1956486 2888146 3278436 3912972 4332219 5776292 8664438 10108511 17328876 20217022 30325533 40434044 60651066 121302132