120605312 has 64 divisors (see below), whose sum is σ = 255938400. Its totient is φ = 56448000.

The previous prime is 120605291. The next prime is 120605321. The reversal of 120605312 is 213506021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245387 + ... + 245877.

Almost surely, 2^120605312 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 120605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127969200).

120605312 is an abundant number, since it is smaller than the sum of its proper divisors (135333088).

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

120605312 is a wasteful number, since it uses less digits than its factorization.

120605312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 120605312 is about 10982.0449826068. The cubic root of 120605312 is about 494.0703730327.

The spelling of 120605312 in words is "one hundred twenty million, six hundred five thousand, three hundred twelve".