13204124800 has 48 divisors (see below), whose sum is σ = 32618322450. Its totient is φ = 5281648640.

The previous prime is 13204124797. The next prime is 13204124827. The reversal of 13204124800 is 842140231.

It can be written as a sum of positive squares in 3 ways, for example, as 9037164096 + 4166960704 = 95064^2 + 64552^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2059945 + ... + 2066344.

Almost surely, 2^13204124800 is an apocalyptic number.

13204124800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13204124800 is an abundant number, since it is smaller than the sum of its proper divisors (19414197650).

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

13204124800 is an equidigital number, since it uses as much as digits as its factorization.

13204124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126313 (or 4126296 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 13204124800 in words is "thirteen billion, two hundred four million, one hundred twenty-four thousand, eight hundred".