117925120 has 72 divisors (see below), whose sum is σ = 284586120. Its totient is φ = 46817280.

The previous prime is 117925109. The next prime is 117925187. The reversal of 117925120 is 21529711.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 115261696 = 1632^2 + 10736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231426 + ... + 231934.

It is an arithmetic number, because the mean of its divisors is an integer number (3952585).

Almost surely, 2^117925120 is an apocalyptic number.

117925120 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 117925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142293060).

117925120 is an abundant number, since it is smaller than the sum of its proper divisors (166661000).

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

117925120 is an equidigital number, since it uses as much as digits as its factorization.

117925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 117925120 is about 10859.3333128696. Note that the first 4 decimals coincide. The cubic root of 117925120 is about 490.3830407678.

The spelling of 117925120 in words is "one hundred seventeen million, nine hundred twenty-five thousand, one hundred twenty".