120718080 has 288 divisors, whose sum is σ = 490560000. Its totient is φ = 27537408.

The previous prime is 120718079. The next prime is 120718109. The reversal of 120718080 is 80817021.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241671 + ... + 242169.

Almost surely, 2^120718080 is an apocalyptic number.

120718080 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 120718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245280000).

120718080 is an abundant number, since it is smaller than the sum of its proper divisors (369841920).

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

120718080 is an equidigital number, since it uses as much as digits as its factorization.

120718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 120718080 is about 10987.1779816293. The cubic root of 120718080 is about 494.2243131066.

The spelling of 120718080 in words is "one hundred twenty million, seven hundred eighteen thousand, eighty".