118123200 has 252 divisors, whose sum is σ = 452849488. Its totient is φ = 29030400.

The previous prime is 118123199. The next prime is 118123217. The reversal of 118123200 is 2321811.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186885 + ... + 187515.

Almost surely, 2^118123200 is an apocalyptic number.

118123200 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 118123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226424744).

118123200 is an abundant number, since it is smaller than the sum of its proper divisors (334726288).

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

118123200 is a wasteful number, since it uses less digits than its factorization.

118123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 118123200 is about 10868.4497514595. The cubic root of 118123200 is about 490.6574542746.

The spelling of 118123200 in words is "one hundred eighteen million, one hundred twenty-three thousand, two hundred".