120468960 has 144 divisors (see below), whose sum is σ = 413955360. Its totient is φ = 31902720.

The previous prime is 120468923. The next prime is 120469043. The reversal of 120468960 is 69864021.

It is a tau number, because it is divible by the number of its divisors (144).

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, 387205 + ... + 387515.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 2^120468960 is an apocalyptic number.

120468960 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 120468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206977680).

120468960 is an abundant number, since it is smaller than the sum of its proper divisors (293486400).

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

120468960 is a wasteful number, since it uses less digits than its factorization.

120468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 120468960 is about 10975.8352757319. The cubic root of 120468960 is about 493.8841101280.

The spelling of 120468960 in words is "one hundred twenty million, four hundred sixty-eight thousand, nine hundred sixty".