120815616 has 64 divisors (see below), whose sum is σ = 322432200. Its totient is φ = 40239104.

The previous prime is 120815593. The next prime is 120815647. The reversal of 120815616 is 616518021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97690 + ... + 98918.

Almost surely, 2^120815616 is an apocalyptic number.

120815616 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 120815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161216100).

120815616 is an abundant number, since it is smaller than the sum of its proper divisors (201616584).

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

120815616 is an frugal number, since it uses more digits than its factorization.

120815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 120815616 is about 10991.6157138066. The cubic root of 120815616 is about 494.3573826128.

The spelling of 120815616 in words is "one hundred twenty million, eight hundred fifteen thousand, six hundred sixteen".