120459960 has 192 divisors, whose sum is σ = 430466400. Its totient is φ = 30233088.

The previous prime is 120459959. The next prime is 120459961. The reversal of 120459960 is 69954021.

120459960 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 599 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (120459959) and next prime (120459961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120459961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7085872 + ... + 7085888.

Almost surely, 2^120459960 is an apocalyptic number.

120459960 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 120459960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215233200).

120459960 is an abundant number, since it is smaller than the sum of its proper divisors (310006440).

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

120459960 is an frugal number, since it uses more digits than its factorization.

120459960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 120459960 is about 10975.4252764984. The cubic root of 120459960 is about 493.8718107836.

The spelling of 120459960 in words is "one hundred twenty million, four hundred fifty-nine thousand, nine hundred sixty".