12706963072 has 32 divisors (see below), whose sum is σ = 26803754820. Its totient is φ = 5979746304.

The previous prime is 12706963039. The next prime is 12706963109. The reversal of 12706963072 is 27036960721.

12706963072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12235899456 + 471063616 = 110616^2 + 21704^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×12706963072² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2917623 + ... + 2921974.

Almost surely, 2^12706963072 is an apocalyptic number.

It is an amenable number.

12706963072 is an abundant number, since it is smaller than the sum of its proper divisors (14096791748).

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

12706963072 is an equidigital number, since it uses as much as digits as its factorization.

12706963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839628 (or 5839616 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The spelling of 12706963072 in words is "twelve billion, seven hundred six million, nine hundred sixty-three thousand, seventy-two".