12138976057500 has 360 divisors, whose sum is σ = 39121447004640. Its totient is φ = 3171792960000.

The previous prime is 12138976057487. The next prime is 12138976057577. The reversal of 12138976057500 is 575067983121.

12138976057500 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 8 + 9 + 7 + 60 + 575 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 360950686 + ... + 360984314.

It is an arithmetic number, because the mean of its divisors is an integer number (108670686124).

Almost surely, 2^{12138976057500} is an apocalyptic number.

12138976057500 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 12138976057500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19560723502320).

12138976057500 is an abundant number, since it is smaller than the sum of its proper divisors (26982470947140).

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

12138976057500 is a wasteful number, since it uses less digits than its factorization.

12138976057500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33983 (or 33963 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 12138976057500 in words is "twelve trillion, one hundred thirty-eight billion, nine hundred seventy-six million, fifty-seven thousand, five hundred".