118117077120 has 1280 divisors, whose sum is σ = 524003800320. Its totient is φ = 24737218560.

The previous prime is 118117077097. The next prime is 118117077167. The reversal of 118117077120 is 21770711811.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 252927127 + ... + 252927593.

It is an arithmetic number, because the mean of its divisors is an integer number (409377969).

Almost surely, 2^118117077120 is an apocalyptic number.

118117077120 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 118117077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262001900160).

118117077120 is an abundant number, since it is smaller than the sum of its proper divisors (405886723200).

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

118117077120 is a wasteful number, since it uses less digits than its factorization.

118117077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 36.

Adding to 118117077120 its reverse (21770711811), we get a palindrome (139887788931).

The spelling of 118117077120 in words is "one hundred eighteen billion, one hundred seventeen million, seventy-seven thousand, one hundred twenty".