12117131883360 has 288 divisors, whose sum is σ = 47715622456320. Its totient is φ = 2742740296704.

The previous prime is 12117131883341. The next prime is 12117131883383. The reversal of 12117131883360 is 6338813171121.

12117131883360 is a `hidden beast` number, since 1 + 211 + 71 + 3 + 1 + 8 + 8 + 3 + 360 = 666.

12117131883360 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4797180 + ... + 6873659.

It is an arithmetic number, because the mean of its divisors is an integer number (165679244640).

Almost surely, 2^{12117131883360} is an apocalyptic number.

12117131883360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12117131883360 is an abundant number, since it is smaller than the sum of its proper divisors (35598490572960).

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

12117131883360 is a wasteful number, since it uses less digits than its factorization.

12117131883360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11670970 (or 11670959 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12117131883360 in words is "twelve trillion, one hundred seventeen billion, one hundred thirty-one million, eight hundred eighty-three thousand, three hundred sixty".