120358080 has 252 divisors, whose sum is σ = 438241440. Its totient is φ = 30311424.

The previous prime is 120358067. The next prime is 120358087. The reversal of 120358080 is 80853021.

It is a happy number.

120358080 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 580 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120358087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1523481 + ... + 1523559.

Almost surely, 2^120358080 is an apocalyptic number.

120358080 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 120358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219120720).

120358080 is an abundant number, since it is smaller than the sum of its proper divisors (317883360).

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

120358080 is a wasteful number, since it uses less digits than its factorization.

120358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120358080 is about 10970.7830167222. The cubic root of 120358080 is about 493.7325394669.

The spelling of 120358080 in words is "one hundred twenty million, three hundred fifty-eight thousand, eighty".