120180480 has 288 divisors, whose sum is σ = 466228224. Its totient is φ = 25755648.

The previous prime is 120180479. The next prime is 120180509. The reversal of 120180480 is 84081021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120180480.

It is a congruent number.

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, 456829 + ... + 457091.

It is an arithmetic number, because the mean of its divisors is an integer number (1618848).

Almost surely, 2^120180480 is an apocalyptic number.

120180480 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 120180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233114112).

120180480 is an abundant number, since it is smaller than the sum of its proper divisors (346047744).

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

120180480 is a wasteful number, since it uses less digits than its factorization.

120180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 120180480 is about 10962.6858023023. The cubic root of 120180480 is about 493.4895698644.

The spelling of 120180480 in words is "one hundred twenty million, one hundred eighty thousand, four hundred eighty".