118220022729600 has 768 divisors, whose sum is σ = 429633385632000. Its totient is φ = 28334006272000.

The previous prime is 118220022729563. The next prime is 118220022729617. The reversal of 118220022729600 is 6927220022811.

118220022729600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3721222516 + ... + 3721254284.

It is an arithmetic number, because the mean of its divisors is an integer number (559418470875).

Almost surely, 2^{118220022729600} is an apocalyptic number.

118220022729600 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 118220022729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214816692816000).

118220022729600 is an abundant number, since it is smaller than the sum of its proper divisors (311413362902400).

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

118220022729600 is a wasteful number, since it uses less digits than its factorization.

118220022729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32207 (or 32190 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 118220022729600 in words is "one hundred eighteen trillion, two hundred twenty billion, twenty-two million, seven hundred twenty-nine thousand, six hundred".