120612128 has 144 divisors (see below), whose sum is σ = 305464824. Its totient is φ = 46448640.

The previous prime is 120612101. The next prime is 120612143. The reversal of 120612128 is 821216021.

It can be written as a sum of positive squares in 4 ways, for example, as 44782864 + 75829264 = 6692^2 + 8708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243376 + ... + 1243472.

Almost surely, 2^120612128 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 120612128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152732412).

120612128 is an abundant number, since it is smaller than the sum of its proper divisors (184852696).

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

120612128 is a wasteful number, since it uses less digits than its factorization.

120612128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 120612128 is about 10982.3553029393. The cubic root of 120612128 is about 494.0796803072.

Adding to 120612128 its reverse (821216021), we get a palindrome (941828149).

The spelling of 120612128 in words is "one hundred twenty million, six hundred twelve thousand, one hundred twenty-eight".