118680120 has 256 divisors, whose sum is σ = 435456000. Its totient is φ = 28574208.

The previous prime is 118680119. The next prime is 118680167. The reversal of 118680120 is 21086811.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1109107 + ... + 1109213.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^118680120 is an apocalyptic number.

118680120 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 118680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

118680120 is an abundant number, since it is smaller than the sum of its proper divisors (316775880).

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

118680120 is a wasteful number, since it uses less digits than its factorization.

118680120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 118680120 is about 10894.0405727168. The cubic root of 118680120 is about 491.4273527810.

The spelling of 118680120 in words is "one hundred eighteen million, six hundred eighty thousand, one hundred twenty".