12079574029656 has 768 divisors, whose sum is σ = 40542241259520. Its totient is φ = 3297086208000.

The previous prime is 12079574029637. The next prime is 12079574029657. The reversal of 12079574029656 is 65692047597021.

12079574029656 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 9 + 574 + 0 + 2 + 9 + 6 + 56 = 666.

It is a super-2 number, since 2×12079574029656² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12079574029593 and 12079574029602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12079574029657) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13318162755 + ... + 13318163661.

It is an arithmetic number, because the mean of its divisors is an integer number (52789376640).

Almost surely, 2^{12079574029656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12079574029656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20271120629760).

12079574029656 is an abundant number, since it is smaller than the sum of its proper divisors (28462667229864).

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

12079574029656 is a wasteful number, since it uses less digits than its factorization.

12079574029656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 12079574029656 in words is "twelve trillion, seventy-nine billion, five hundred seventy-four million, twenty-nine thousand, six hundred fifty-six".