120099960 has 96 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 31797504.

The previous prime is 120099949. The next prime is 120099971. The reversal of 120099960 is 69990021.

It is an interprime number because it is at equal distance from previous prime (120099949) and next prime (120099971).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52521 + ... + 54759.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2^120099960 is an apocalyptic number.

120099960 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 120099960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

120099960 is an abundant number, since it is smaller than the sum of its proper divisors (273020040).

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

120099960 is a wasteful number, since it uses less digits than its factorization.

120099960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 120099960 is about 10959.0127292562. The cubic root of 120099960 is about 493.3793338325.

The spelling of 120099960 in words is "one hundred twenty million, ninety-nine thousand, nine hundred sixty".