12640624100 has 72 divisors (see below), whose sum is σ = 29914335360. Its totient is φ = 4608190080.

The previous prime is 12640624097. The next prime is 12640624123. The reversal of 12640624100 is 142604621.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12640624100.

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, 41159 + ... + 164241.

It is an arithmetic number, because the mean of its divisors is an integer number (415476880).

Almost surely, 2^12640624100 is an apocalyptic number.

12640624100 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 12640624100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957167680).

12640624100 is an abundant number, since it is smaller than the sum of its proper divisors (17273711260).

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

12640624100 is a wasteful number, since it uses less digits than its factorization.

12640624100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123189 (or 123182 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 12640624100 in words is "twelve billion, six hundred forty million, six hundred twenty-four thousand, one hundred".