118120504320 has 1056 divisors, whose sum is σ = 533688075648. Its totient is φ = 23441965056.

The previous prime is 118120504291. The next prime is 118120504321. The reversal of 118120504320 is 23405021811.

118120504320 is a `hidden beast` number, since 1 + 1 + 8 + 120 + 504 + 32 + 0 = 666.

It is a super-2 number, since 2×118120504320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118120504321) 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, 71284932 + ... + 71286588.

Almost surely, 2^118120504320 is an apocalyptic number.

118120504320 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 118120504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266844037824).

118120504320 is an abundant number, since it is smaller than the sum of its proper divisors (415567571328).

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

118120504320 is a wasteful number, since it uses less digits than its factorization.

118120504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 118120504320 in words is "one hundred eighteen billion, one hundred twenty million, five hundred four thousand, three hundred twenty".