120456560 has 80 divisors (see below), whose sum is σ = 338924736. Its totient is φ = 38866944.

The previous prime is 120456533. The next prime is 120456569. The reversal of 120456560 is 65654021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120456569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3194 + ... + 15846.

Almost surely, 2^120456560 is an apocalyptic number.

120456560 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 120456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169462368).

120456560 is an abundant number, since it is smaller than the sum of its proper divisors (218468176).

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

120456560 is a wasteful number, since it uses less digits than its factorization.

120456560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12690 (or 12684 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 120456560 is about 10975.2703839131. The cubic root of 120456560 is about 493.8671642052.

The spelling of 120456560 in words is "one hundred twenty million, four hundred fifty-six thousand, five hundred sixty".