120178080 has 288 divisors, whose sum is σ = 465611328. Its totient is φ = 29030400.

The previous prime is 120178073. The next prime is 120178111. The reversal of 120178080 is 80871021.

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 47 ways as a sum of consecutive naturals, for example, 427540 + ... + 427820.

It is an arithmetic number, because the mean of its divisors is an integer number (1616706).

Almost surely, 2^120178080 is an apocalyptic number.

120178080 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 120178080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232805664).

120178080 is an abundant number, since it is smaller than the sum of its proper divisors (345433248).

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

120178080 is a wasteful number, since it uses less digits than its factorization.

120178080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

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

The square root of 120178080 is about 10962.5763395290. The cubic root of 120178080 is about 493.4862848527.

The spelling of 120178080 in words is "one hundred twenty million, one hundred seventy-eight thousand, eighty".