116971200 has 126 divisors (see below), whose sum is σ = 415794444. Its totient is φ = 31188480.

The previous prime is 116971199. The next prime is 116971219. The reversal of 116971200 is 2179611.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10339 + ... + 18461.

Almost surely, 2^116971200 is an apocalyptic number.

116971200 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 116971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207897222).

116971200 is an abundant number, since it is smaller than the sum of its proper divisors (298823244).

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

116971200 is a wasteful number, since it uses less digits than its factorization.

116971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 116971200 is about 10815.3224639860. The cubic root of 116971200 is about 489.0571902951.

The spelling of 116971200 in words is "one hundred sixteen million, nine hundred seventy-one thousand, two hundred".