120516480 has 384 divisors, whose sum is σ = 493272000. Its totient is φ = 27095040.

The previous prime is 120516469. The next prime is 120516491. The reversal of 120516480 is 84615021.

120516480 is a `hidden beast` number, since 12 + 0 + 5 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120516469) and next prime (120516491).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 1975650 + ... + 1975710.

Almost surely, 2^120516480 is an apocalyptic number.

120516480 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 120516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246636000).

120516480 is an abundant number, since it is smaller than the sum of its proper divisors (372755520).

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

120516480 is an equidigital number, since it uses as much as digits as its factorization.

120516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

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

The square root of 120516480 is about 10977.9998178175. Note that the first 3 decimals coincide. The cubic root of 120516480 is about 493.9490405126.

The spelling of 120516480 in words is "one hundred twenty million, five hundred sixteen thousand, four hundred eighty".