118812800 has 96 divisors (see below), whose sum is σ = 297101520. Its totient is φ = 46945280.

The previous prime is 118812791. The next prime is 118812817. The reversal of 118812800 is 8218811.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 342227 + ... + 342573.

Almost surely, 2^118812800 is an apocalyptic number.

118812800 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 118812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148550760).

118812800 is an abundant number, since it is smaller than the sum of its proper divisors (178288720).

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

118812800 is a wasteful number, since it uses less digits than its factorization.

118812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 29.

The square root of 118812800 is about 10900.1284396102. The cubic root of 118812800 is about 491.6104171342.

The spelling of 118812800 in words is "one hundred eighteen million, eight hundred twelve thousand, eight hundred".