12130942855680 has 1920 divisors, whose sum is σ = 49655221862400. Its totient is φ = 2801627136000.

The previous prime is 12130942855663. The next prime is 12130942855693. The reversal of 12130942855680 is 8655824903121.

12130942855680 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 9 + 4 + 2 + 8 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18408107191 + ... + 18408107849.

It is an arithmetic number, because the mean of its divisors is an integer number (25862094720).

Almost surely, 2^{12130942855680} is an apocalyptic number.

12130942855680 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 12130942855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24827610931200).

12130942855680 is an abundant number, since it is smaller than the sum of its proper divisors (37524279006720).

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

12130942855680 is a wasteful number, since it uses less digits than its factorization.

12130942855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 12130942855680 in words is "twelve trillion, one hundred thirty billion, nine hundred forty-two million, eight hundred fifty-five thousand, six hundred eighty".