12564039012 has 96 divisors (see below), whose sum is σ = 33980642304. Its totient is φ = 3538857600.

The previous prime is 12564039001. The next prime is 12564039031. The reversal of 12564039012 is 21093046521.

It is a super-2 number, since 2×12564039012² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3770187 + ... + 3773517.

It is an arithmetic number, because the mean of its divisors is an integer number (353965024).

Almost surely, 2^12564039012 is an apocalyptic number.

12564039012 is a gapful number since it is divisible by the number (12) 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 12564039012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990321152).

12564039012 is an abundant number, since it is smaller than the sum of its proper divisors (21416603292).

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

12564039012 is a wasteful number, since it uses less digits than its factorization.

12564039012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 12564039012 in words is "twelve billion, five hundred sixty-four million, thirty-nine thousand, twelve".