117120156192 has 288 divisors, whose sum is σ = 376702679808. Its totient is φ = 34246637568.

The previous prime is 117120156163. The next prime is 117120156253. The reversal of 117120156192 is 291651021711.

117120156192 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 2 + 0 + 1 + 561 + 92 = 666.

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 (36).

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, 13515253 + ... + 13523915.

It is an arithmetic number, because the mean of its divisors is an integer number (1307995416).

Almost surely, 2^117120156192 is an apocalyptic number.

117120156192 is a gapful number since it is divisible by the number (12) 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 117120156192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188351339904).

117120156192 is an abundant number, since it is smaller than the sum of its proper divisors (259582523616).

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

117120156192 is a wasteful number, since it uses less digits than its factorization.

117120156192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8872 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 117120156192 in words is "one hundred seventeen billion, one hundred twenty million, one hundred fifty-six thousand, one hundred ninety-two".