12938133600 has 864 divisors, whose sum is σ = 56058912000. Its totient is φ = 2742128640.

The previous prime is 12938133587. The next prime is 12938133601. The reversal of 12938133600 is 633183921.

12938133600 is a `hidden beast` number, since 1 + 2 + 9 + 38 + 13 + 3 + 600 = 666.

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 (12938133601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56498286 + ... + 56498514.

It is an arithmetic number, because the mean of its divisors is an integer number (64883000).

Almost surely, 2^12938133600 is an apocalyptic number.

12938133600 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 12938133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029456000).

12938133600 is an abundant number, since it is smaller than the sum of its proper divisors (43120778400).

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

12938133600 is a wasteful number, since it uses less digits than its factorization.

12938133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

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

The spelling of 12938133600 in words is "twelve billion, nine hundred thirty-eight million, one hundred thirty-three thousand, six hundred".