12913362955200 has 1008 divisors, whose sum is σ = 47304708665984. Its totient is φ = 3079544832000.

The previous prime is 12913362955193. The next prime is 12913362955231. The reversal of 12913362955200 is 255926331921.

It is a happy number.

12913362955200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12913362955200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2207032275 + ... + 2207038125.

Almost surely, 2^{12913362955200} is an apocalyptic number.

12913362955200 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 12913362955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23652354332992).

12913362955200 is an abundant number, since it is smaller than the sum of its proper divisors (34391345710784).

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

12913362955200 is a wasteful number, since it uses less digits than its factorization.

12913362955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 12913362955200 in words is "twelve trillion, nine hundred thirteen billion, three hundred sixty-two million, nine hundred fifty-five thousand, two hundred".