12604642272 has 72 divisors (see below), whose sum is σ = 35883797040. Its totient is φ = 4196935680.

The previous prime is 12604642261. The next prime is 12604642279. The reversal of 12604642272 is 27224640621.

12604642272 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 4 + 642 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12604642279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243997 + ... + 291107.

It is an arithmetic number, because the mean of its divisors is an integer number (498386070).

Almost surely, 2^12604642272 is an apocalyptic number.

12604642272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12604642272 is an abundant number, since it is smaller than the sum of its proper divisors (23279154768).

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

12604642272 is a wasteful number, since it uses less digits than its factorization.

12604642272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48056 (or 48045 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12604642272 in words is "twelve billion, six hundred four million, six hundred forty-two thousand, two hundred seventy-two".