12872946900 has 72 divisors (see below), whose sum is σ = 40631711904. Its totient is φ = 3120713600.

The previous prime is 12872946887. The next prime is 12872946973. The reversal of 12872946900 is 964927821.

It is a super-2 number, since 2×12872946900² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12872946900.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1947147 + ... + 1953746.

It is an arithmetic number, because the mean of its divisors is an integer number (564329332).

Almost surely, 2^12872946900 is an apocalyptic number.

12872946900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12872946900 is an abundant number, since it is smaller than the sum of its proper divisors (27758765004).

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

12872946900 is a wasteful number, since it uses less digits than its factorization.

12872946900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900921 (or 3900914 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 12872946900 in words is "twelve billion, eight hundred seventy-two million, nine hundred forty-six thousand, nine hundred".