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121001340 = 223529197353
BaseRepresentation
bin1110011011001…
…01010101111100
322102200111122010
413031211111330
5221434020330
620001251220
72666331405
oct715452574
9272614563
10121001340
1162336109
1234633b10
131c0b7935
14120da9ac
15a9523b0
hex736557c

121001340 has 96 divisors (see below), whose sum is σ = 353263680. Its totient is φ = 30908416.

The previous prime is 121001299. The next prime is 121001341. The reversal of 121001340 is 43100121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342604 + ... + 342956.

It is an arithmetic number, because the mean of its divisors is an integer number (3679830).

Almost surely, 2121001340 is an apocalyptic number.

121001340 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 121001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176631840).

121001340 is an abundant number, since it is smaller than the sum of its proper divisors (232262340).

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

121001340 is a wasteful number, since it uses less digits than its factorization.

121001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121001340 is about 11000.0609089223. The cubic root of 121001340 is about 494.6105701466.

Adding to 121001340 its reverse (43100121), we get a palindrome (164101461).

The spelling of 121001340 in words is "one hundred twenty-one million, one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 197 290 348 353 394 435 580 591 706 788 870 985 1059 1182 1412 1740 1765 1970 2118 2364 2955 3530 3940 4236 5295 5713 5910 7060 10237 10590 11426 11820 17139 20474 21180 22852 28565 30711 34278 40948 51185 57130 61422 68556 69541 85695 102370 114260 122844 139082 153555 171390 204740 208623 278164 307110 342780 347705 417246 614220 695410 834492 1043115 1390820 2016689 2086230 4033378 4172460 6050067 8066756 10083445 12100134 20166890 24200268 30250335 40333780 60500670 121001340