120128616 has 64 divisors (see below), whose sum is σ = 340819200. Its totient is φ = 39187584.

The previous prime is 120128599. The next prime is 120128633. The reversal of 120128616 is 616821021.

120128616 is a `hidden beast` number, since 1 + 20 + 1 + 28 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (120128599) and next prime (120128633).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 120128616.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4236 + ... + 16068.

It is an arithmetic number, because the mean of its divisors is an integer number (5325300).

Almost surely, 2^120128616 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 120128616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170409600).

120128616 is an abundant number, since it is smaller than the sum of its proper divisors (220690584).

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

120128616 is a wasteful number, since it uses less digits than its factorization.

120128616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11895 (or 11885 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 120128616 is about 10960.3200683192. The cubic root of 120128616 is about 493.4185710198.

Adding to 120128616 its reverse (616821021), we get a palindrome (736949637).

The spelling of 120128616 in words is "one hundred twenty million, one hundred twenty-eight thousand, six hundred sixteen".