117312400 has 60 divisors (see below), whose sum is σ = 283045252. Its totient is φ = 46725120.

The previous prime is 117312389. The next prime is 117312457. The reversal of 117312400 is 4213711.

It can be written as a sum of positive squares in 6 ways, for example, as 57032704 + 60279696 = 7552^2 + 7764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124732 + ... + 125668.

Almost surely, 2^117312400 is an apocalyptic number.

117312400 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 117312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141522626).

117312400 is an abundant number, since it is smaller than the sum of its proper divisors (165732852).

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

117312400 is a wasteful number, since it uses less digits than its factorization.

117312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 117312400 is about 10831.0848948755. The cubic root of 117312400 is about 489.5322483391.

The spelling of 117312400 in words is "one hundred seventeen million, three hundred twelve thousand, four hundred".