12612850975872 has 512 divisors, whose sum is σ = 46227118080000. Its totient is φ = 3303871856640.

The previous prime is 12612850975811. The next prime is 12612850975889. The reversal of 12612850975872 is 27857905821621.

12612850975872 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 2 + 8 + 509 + 7 + 58 + 72 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13806504 + ... + 14691672.

It is an arithmetic number, because the mean of its divisors is an integer number (90287340000).

Almost surely, 2^{12612850975872} is an apocalyptic number.

12612850975872 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 12612850975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23113559040000).

12612850975872 is an abundant number, since it is smaller than the sum of its proper divisors (33614267104128).

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

12612850975872 is a wasteful number, since it uses less digits than its factorization.

12612850975872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885249 (or 885231 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 12612850975872 in words is "twelve trillion, six hundred twelve billion, eight hundred fifty million, nine hundred seventy-five thousand, eight hundred seventy-two".