117120532320 has 288 divisors, whose sum is σ = 436372634880. Its totient is φ = 28369105920.

The previous prime is 117120532313. The next prime is 117120532327. The reversal of 117120532320 is 23235021711.

117120532320 is a `hidden beast` number, since 1 + 1 + 7 + 120 + 532 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117120532313) and next prime (117120532327).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117120532327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25642677 + ... + 25647243.

It is an arithmetic number, because the mean of its divisors is an integer number (1515182760).

Almost surely, 2^117120532320 is an apocalyptic number.

117120532320 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 117120532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218186317440).

117120532320 is an abundant number, since it is smaller than the sum of its proper divisors (319252102560).

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

117120532320 is a wasteful number, since it uses less digits than its factorization.

117120532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6218 (or 6207 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 117120532320 in words is "one hundred seventeen billion, one hundred twenty million, five hundred thirty-two thousand, three hundred twenty".