120915616 has 36 divisors (see below), whose sum is σ = 246599262. Its totient is φ = 58360064.

The previous prime is 120915607. The next prime is 120915629. The reversal of 120915616 is 616519021.

It can be written as a sum of positive squares in 3 ways, for example, as 120912016 + 3600 = 10996^2 + 60^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24666 + ... + 29158.

Almost surely, 2^120915616 is an apocalyptic number.

120915616 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 120915616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123299631).

120915616 is an abundant number, since it is smaller than the sum of its proper divisors (125683646).

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

120915616 is an equidigital number, since it uses as much as digits as its factorization.

120915616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 120915616 is about 10996.1636946710. The cubic root of 120915616 is about 494.4937394479.

The spelling of 120915616 in words is "one hundred twenty million, nine hundred fifteen thousand, six hundred sixteen".