117975312 has 160 divisors (see below), whose sum is σ = 416917760. Its totient is φ = 31104000.

The previous prime is 117975301. The next prime is 117975331. The reversal of 117975312 is 213579711.

117975312 is a `hidden beast` number, since 117 + 9 + 7 + 531 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 37812 + ... + 40812.

It is an arithmetic number, because the mean of its divisors is an integer number (2605736).

Almost surely, 2^117975312 is an apocalyptic number.

117975312 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 117975312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208458880).

117975312 is an abundant number, since it is smaller than the sum of its proper divisors (298942448).

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

117975312 is a wasteful number, since it uses less digits than its factorization.

117975312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3026 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 117975312 is about 10861.6440744484. The cubic root of 117975312 is about 490.4526041608.

The spelling of 117975312 in words is "one hundred seventeen million, nine hundred seventy-five thousand, three hundred twelve".