118022842800 has 480 divisors, whose sum is σ = 437846976000. Its totient is φ = 30157747200.

The previous prime is 118022842793. The next prime is 118022842801. The reversal of 118022842800 is 8248220811.

118022842800 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 228 + 428 + 0 + 0 = 666.

118022842800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (118022842801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43533445 + ... + 43536155.

It is an arithmetic number, because the mean of its divisors is an integer number (912181200).

Almost surely, 2^118022842800 is an apocalyptic number.

118022842800 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 118022842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218923488000).

118022842800 is an abundant number, since it is smaller than the sum of its proper divisors (319824133200).

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

118022842800 is a wasteful number, since it uses less digits than its factorization.

118022842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 118022842800 in words is "one hundred eighteen billion, twenty-two million, eight hundred forty-two thousand, eight hundred".