117331200 has 432 divisors, whose sum is σ = 496773760. Its totient is φ = 26542080.

The previous prime is 117331163. The next prime is 117331231. The reversal of 117331200 is 2133711.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×117331200² = 27533220986880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1209552 + ... + 1209648.

Almost surely, 2^117331200 is an apocalyptic number.

117331200 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 117331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248386880).

117331200 is an abundant number, since it is smaller than the sum of its proper divisors (379442560).

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

117331200 is an equidigital number, since it uses as much as digits as its factorization.

117331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 117331200 is about 10831.9527325409. The cubic root of 117331200 is about 489.5583970801.

Adding to 117331200 its reverse (2133711), we get a palindrome (119464911).

The spelling of 117331200 in words is "one hundred seventeen million, three hundred thirty-one thousand, two hundred".