12838595731200 has 3456 divisors, whose sum is σ = 55907121715200. Its totient is φ = 2858900520960.

The previous prime is 12838595731163. The next prime is 12838595731249. The reversal of 12838595731200 is 213759583821.

12838595731200 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 8 + 59 + 573 + 12 + 0 + 0 = 666.

12838595731200 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 (3456).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 93712377532 + ... + 93712377668.

It is an arithmetic number, because the mean of its divisors is an integer number (16176829200).

Almost surely, 2^{12838595731200} is an apocalyptic number.

12838595731200 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 12838595731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27953560857600).

12838595731200 is an abundant number, since it is smaller than the sum of its proper divisors (43068525984000).

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

12838595731200 is a wasteful number, since it uses less digits than its factorization.

12838595731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12838595731200 in words is "twelve trillion, eight hundred thirty-eight billion, five hundred ninety-five million, seven hundred thirty-one thousand, two hundred".