117991200 has 144 divisors (see below), whose sum is σ = 387537696. Its totient is φ = 31180800.

The previous prime is 117991189. The next prime is 117991207. The reversal of 117991200 is 2199711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (117991207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506284 + ... + 506516.

It is an arithmetic number, because the mean of its divisors is an integer number (2691234).

Almost surely, 2^117991200 is an apocalyptic number.

117991200 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 117991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193768848).

117991200 is an abundant number, since it is smaller than the sum of its proper divisors (269546496).

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

117991200 is a wasteful number, since it uses less digits than its factorization.

117991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 117991200 is about 10862.3754308162. The cubic root of 117991200 is about 490.4746199568.

The spelling of 117991200 in words is "one hundred seventeen million, nine hundred ninety-one thousand, two hundred".