12938313600 has 192 divisors, whose sum is σ = 47350950000. Its totient is φ = 3450193920.

The previous prime is 12938313589. The next prime is 12938313613. The reversal of 12938313600 is 631383921.

12938313600 is a `hidden beast` number, since 1 + 2 + 9 + 38 + 3 + 13 + 600 = 666.

12938313600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11526 + ... + 161274.

Almost surely, 2^12938313600 is an apocalyptic number.

12938313600 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 12938313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675475000).

12938313600 is an abundant number, since it is smaller than the sum of its proper divisors (34412636400).

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

12938313600 is a wasteful number, since it uses less digits than its factorization.

12938313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149782 (or 149759 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 12938313600 in words is "twelve billion, nine hundred thirty-eight million, three hundred thirteen thousand, six hundred".