120045616 has 40 divisors (see below), whose sum is σ = 241703280. Its totient is φ = 57689856.

The previous prime is 120045613. The next prime is 120045617. The reversal of 120045616 is 616540021.

It is not an unprimeable number, because it can be changed into a prime (120045613) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 135511 + ... + 136393.

It is an arithmetic number, because the mean of its divisors is an integer number (6042582).

Almost surely, 2^120045616 is an apocalyptic number.

120045616 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 120045616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120851640).

120045616 is an abundant number, since it is smaller than the sum of its proper divisors (121657664).

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

120045616 is a wasteful number, since it uses less digits than its factorization.

120045616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 120045616 is about 10956.5330282896. The cubic root of 120045616 is about 493.3049062428.

Adding to 120045616 its reverse (616540021), we get a palindrome (736585637).

The spelling of 120045616 in words is "one hundred twenty million, forty-five thousand, six hundred sixteen".