118221600 has 288 divisors, whose sum is σ = 455970816. Its totient is φ = 26035200.

The previous prime is 118221581. The next prime is 118221601. The reversal of 118221600 is 6122811.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (118221601) by changing a digit.

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, 520687 + ... + 520913.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^118221600 is an apocalyptic number.

118221600 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 118221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408).

118221600 is an abundant number, since it is smaller than the sum of its proper divisors (337749216).

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

118221600 is a wasteful number, since it uses less digits than its factorization.

118221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 118221600 is about 10872.9756736599. The cubic root of 118221600 is about 490.7936603524.

The spelling of 118221600 in words is "one hundred eighteen million, two hundred twenty-one thousand, six hundred".