117931200 has 168 divisors, whose sum is σ = 393070080. Its totient is φ = 30950400.

The previous prime is 117931171. The next prime is 117931217. The reversal of 117931200 is 2139711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379045 + ... + 379355.

Almost surely, 2^117931200 is an apocalyptic number.

117931200 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 117931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196535040).

117931200 is an abundant number, since it is smaller than the sum of its proper divisors (275138880).

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

117931200 is a wasteful number, since it uses less digits than its factorization.

117931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 117931200 is about 10859.6132527821. The cubic root of 117931200 is about 490.3914683690.

The spelling of 117931200 in words is "one hundred seventeen million, nine hundred thirty-one thousand, two hundred".