120960416 has 48 divisors (see below), whose sum is σ = 246209544. Its totient is φ = 58466304.

The previous prime is 120960401. The next prime is 120960431. The reversal of 120960416 is 614069021.

It is an interprime number because it is at equal distance from previous prime (120960401) and next prime (120960431).

It can be written as a sum of positive squares in 4 ways, for example, as 120912016 + 48400 = 10996^2 + 220^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123320 + ... + 124296.

Almost surely, 2^120960416 is an apocalyptic number.

120960416 is a gapful number since it is divisible by the number (16) 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 120960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123104772).

120960416 is an abundant number, since it is smaller than the sum of its proper divisors (125249128).

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

120960416 is an equidigital number, since it uses as much as digits as its factorization.

120960416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 120960416 is about 10998.2005800949. The cubic root of 120960416 is about 494.5548029257.

The spelling of 120960416 in words is "one hundred twenty million, nine hundred sixty thousand, four hundred sixteen".