118917120 has 288 divisors, whose sum is σ = 448156800. Its totient is φ = 26836992.

The previous prime is 118917109. The next prime is 118917133. The reversal of 118917120 is 21719811.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505241 + ... + 1505319.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^118917120 is an apocalyptic number.

118917120 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 118917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

118917120 is an abundant number, since it is smaller than the sum of its proper divisors (329239680).

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

118917120 is an equidigital number, since it uses as much as digits as its factorization.

118917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 30.

The square root of 118917120 is about 10904.9126543957. The cubic root of 118917120 is about 491.7542562838.

The spelling of 118917120 in words is "one hundred eighteen million, nine hundred seventeen thousand, one hundred twenty".