120516312 has 64 divisors (see below), whose sum is σ = 345415680. Its totient is φ = 34324992.

The previous prime is 120516301. The next prime is 120516337. The reversal of 120516312 is 213615021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63408 + ... + 65280.

It is an arithmetic number, because the mean of its divisors is an integer number (5397120).

Almost surely, 2^120516312 is an apocalyptic number.

120516312 is a gapful number since it is divisible by the number (12) 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 120516312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172707840).

120516312 is an abundant number, since it is smaller than the sum of its proper divisors (224899368).

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

120516312 is a wasteful number, since it uses less digits than its factorization.

120516312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 120516312 is about 10977.9921661477. The cubic root of 120516312 is about 493.9488109908.

The spelling of 120516312 in words is "one hundred twenty million, five hundred sixteen thousand, three hundred twelve".