12632911200 has 576 divisors, whose sum is σ = 56241400320. Its totient is φ = 2664990720.

The previous prime is 12632911189. The next prime is 12632911261. The reversal of 12632911200 is 211923621.

12632911200 is a `hidden beast` number, since 1 + 2 + 632 + 9 + 1 + 1 + 20 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1962387 + ... + 1968813.

It is an arithmetic number, because the mean of its divisors is an integer number (97641320).

Almost surely, 2^12632911200 is an apocalyptic number.

12632911200 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 12632911200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28120700160).

12632911200 is an abundant number, since it is smaller than the sum of its proper divisors (43608489120).

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

12632911200 is a wasteful number, since it uses less digits than its factorization.

12632911200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476 (or 6457 counting only the distinct ones).

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

The spelling of 12632911200 in words is "twelve billion, six hundred thirty-two million, nine hundred eleven thousand, two hundred".