12962426720256 has 936 divisors, whose sum is σ = 42888522900960. Its totient is φ = 3865009913856.

The previous prime is 12962426720251. The next prime is 12962426720279. The reversal of 12962426720256 is 65202762426921.

12962426720256 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 2 + 426 + 7 + 202 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12962426720251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102066352065 + ... + 102066352191.

Almost surely, 2^{12962426720256} is an apocalyptic number.

12962426720256 is a gapful number since it is divisible by the number (16) 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 12962426720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21444261450480).

12962426720256 is an abundant number, since it is smaller than the sum of its proper divisors (29926096180704).

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

12962426720256 is an equidigital number, since it uses as much as digits as its factorization.

12962426720256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 12962426720256 in words is "twelve trillion, nine hundred sixty-two billion, four hundred twenty-six million, seven hundred twenty thousand, two hundred fifty-six".