12904008100 has 36 divisors (see below), whose sum is σ = 29648860164. Its totient is φ = 4857978880.

The previous prime is 12904008079. The next prime is 12904008107. The reversal of 12904008100 is 180040921.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1113957376 + 11790050724 = 33376^2 + 108582^2 .

It is a super-2 number, since 2×12904008100² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12904008107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3793597 + ... + 3796996.

It is an arithmetic number, because the mean of its divisors is an integer number (823579449).

Almost surely, 2^12904008100 is an apocalyptic number.

12904008100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12904008100 is an abundant number, since it is smaller than the sum of its proper divisors (16744852064).

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

12904008100 is a wasteful number, since it uses less digits than its factorization.

12904008100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590624 (or 7590617 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 12904008100 in words is "twelve billion, nine hundred four million, eight thousand, one hundred".