12924900 has 72 divisors (see below), whose sum is σ = 41559840. Its totient is φ = 3445920.

The previous prime is 12924889. The next prime is 12924931. The reversal of 12924900 is 942921.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 307 + ... + 5093.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 2^12924900 is an apocalyptic number.

12924900 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 12924900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

12924900 is an abundant number, since it is smaller than the sum of its proper divisors (28634940).

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

12924900 is a wasteful number, since it uses less digits than its factorization.

12924900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12924900 is about 3595.1216947414. The cubic root of 12924900 is about 234.6798114122.

It can be divided in two parts, 12924 and 900, that added together give a cube (13824 = 24³).

The spelling of 12924900 in words is "twelve million, nine hundred twenty-four thousand, nine hundred".