12605017504 has 24 divisors (see below), whose sum is σ = 25671858660. Its totient is φ = 6085180416.

The previous prime is 12605017493. The next prime is 12605017511. The reversal of 12605017504 is 40571050621.

12605017504 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 12377007504 + 228010000 = 111252^2 + 15100^2 .

It is a super-2 number, since 2×12605017504² (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, 6790569 + ... + 6792424.

Almost surely, 2^12605017504 is an apocalyptic number.

It is an amenable number.

12605017504 is an abundant number, since it is smaller than the sum of its proper divisors (13066841156).

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

12605017504 is a wasteful number, since it uses less digits than its factorization.

12605017504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13583032 (or 13583024 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 12605017504 in words is "twelve billion, six hundred five million, seventeen thousand, five hundred four".