12696560800 has 288 divisors, whose sum is σ = 39201490944. Its totient is φ = 3900288000.

The previous prime is 12696560797. The next prime is 12696560827. The reversal of 12696560800 is 806569621.

It is a super-2 number, since 2×12696560800² (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 47 ways as a sum of consecutive naturals, for example, 4372149 + ... + 4375051.

It is an arithmetic number, because the mean of its divisors is an integer number (136116288).

Almost surely, 2^12696560800 is an apocalyptic number.

12696560800 is a gapful number since it is divisible by the number (10) 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 12696560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19600745472).

12696560800 is an abundant number, since it is smaller than the sum of its proper divisors (26504930144).

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

12696560800 is a wasteful number, since it uses less digits than its factorization.

12696560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 12696560800 in words is "twelve billion, six hundred ninety-six million, five hundred sixty thousand, eight hundred".