120416088 has 64 divisors (see below), whose sum is σ = 327317760. Its totient is φ = 36694656.

The previous prime is 120416081. The next prime is 120416099. The reversal of 120416088 is 880614021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120416081) 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, 31581 + ... + 35187.

It is an arithmetic number, because the mean of its divisors is an integer number (5114340).

Almost surely, 2^120416088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120416088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163658880).

120416088 is an abundant number, since it is smaller than the sum of its proper divisors (206901672).

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

120416088 is a wasteful number, since it uses less digits than its factorization.

120416088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 120416088 is about 10973.4264475596. The cubic root of 120416088 is about 493.8118468060.

The spelling of 120416088 in words is "one hundred twenty million, four hundred sixteen thousand, eighty-eight".