12930815713072 has 80 divisors (see below), whose sum is σ = 27109195471872. Its totient is φ = 5951750906880.

The previous prime is 12930815713051. The next prime is 12930815713073. The reversal of 12930815713072 is 27031751803921.

12930815713072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12930815713073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19397947 + ... + 20053477.

Almost surely, 2^{12930815713072} 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 12930815713072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13554597735936).

12930815713072 is an abundant number, since it is smaller than the sum of its proper divisors (14178379758800).

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

12930815713072 is a wasteful number, since it uses less digits than its factorization.

12930815713072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657146 (or 657140 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

The spelling of 12930815713072 in words is "twelve trillion, nine hundred thirty billion, eight hundred fifteen million, seven hundred thirteen thousand, seventy-two".