12938735779200 has 2304 divisors, whose sum is σ = 59975877012480. Its totient is φ = 2577899520000.

The previous prime is 12938735779043. The next prime is 12938735779201. The reversal of 12938735779200 is 297753783921.

12938735779200 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 8 + 7 + 357 + 79 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12938735779201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5825634090 + ... + 5825636310.

It is an arithmetic number, because the mean of its divisors is an integer number (26031196620).

Almost surely, 2^{12938735779200} is an apocalyptic number.

12938735779200 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 12938735779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29987938506240).

12938735779200 is an abundant number, since it is smaller than the sum of its proper divisors (47037141233280).

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

12938735779200 is a wasteful number, since it uses less digits than its factorization.

12938735779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 12938735779200 in words is "twelve trillion, nine hundred thirty-eight billion, seven hundred thirty-five million, seven hundred seventy-nine thousand, two hundred".