12007628125 has 24 divisors (see below), whose sum is σ = 15040053000. Its totient is φ = 9585960000.

The previous prime is 12007628111. The next prime is 12007628153. The reversal of 12007628125 is 52182670021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10261892601 + 1745735524 = 101301^2 + 41782^2 .

It is not a de Polignac number, because 12007628125 - 2⁷ = 12007627997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586851 + ... + 1594399.

It is an arithmetic number, because the mean of its divisors is an integer number (626668875).

Almost surely, 2^12007628125 is an apocalyptic number.

It is an amenable number.

12007628125 is a deficient number, since it is larger than the sum of its proper divisors (3032424875).

12007628125 is an frugal number, since it uses more digits than its factorization.

12007628125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8063 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 12007628125 in words is "twelve billion, seven million, six hundred twenty-eight thousand, one hundred twenty-five".