120082560 has 256 divisors, whose sum is σ = 437996160. Its totient is φ = 27721728.

The previous prime is 120082541. The next prime is 120082579. The reversal of 120082560 is 65280021.

It is an interprime number because it is at equal distance from previous prime (120082541) and next prime (120082579).

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 120082560.

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, 424179 + ... + 424461.

Almost surely, 2^120082560 is an apocalyptic number.

120082560 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 120082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218998080).

120082560 is an abundant number, since it is smaller than the sum of its proper divisors (317913600).

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

120082560 is a wasteful number, since it uses less digits than its factorization.

120082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 120082560 is about 10958.2188333689. The cubic root of 120082560 is about 493.3555058617.

The spelling of 120082560 in words is "one hundred twenty million, eighty-two thousand, five hundred sixty".