12617042256 has 120 divisors (see below), whose sum is σ = 43458746240. Its totient is φ = 3327568128.

The previous prime is 12617042239. The next prime is 12617042257. The reversal of 12617042256 is 65224071621.

It is a happy number.

12617042256 is a `hidden beast` number, since 12 + 6 + 170 + 422 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12617042256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12617042257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468316 + ... + 494523.

Almost surely, 2^12617042256 is an apocalyptic number.

12617042256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12617042256 is an abundant number, since it is smaller than the sum of its proper divisors (30841703984).

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

12617042256 is a wasteful number, since it uses less digits than its factorization.

12617042256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962873 (or 962864 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12617042256 in words is "twelve billion, six hundred seventeen million, forty-two thousand, two hundred fifty-six".