12970056960 has 1296 divisors, whose sum is σ = 58015391616. Its totient is φ = 2759049216.

The previous prime is 12970056943. The next prime is 12970056971. The reversal of 12970056960 is 6965007921.

It is a happy number.

12970056960 is a `hidden beast` number, since 1 + 29 + 7 + 0 + 0 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 350542062 + ... + 350542098.

Almost surely, 2^12970056960 is an apocalyptic number.

12970056960 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 12970056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29007695808).

12970056960 is an abundant number, since it is smaller than the sum of its proper divisors (45045334656).

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

12970056960 is an equidigital number, since it uses as much as digits as its factorization.

12970056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 12970056960 in words is "twelve billion, nine hundred seventy million, fifty-six thousand, nine hundred sixty".