120061312 has 64 divisors (see below), whose sum is σ = 279267840. Its totient is φ = 50342400.

The previous prime is 120061309. The next prime is 120061339. The reversal of 120061312 is 213160021.

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

It is a super-2 number, since 2×120061312² = 28829437278322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 40687 + ... + 43537.

It is an arithmetic number, because the mean of its divisors is an integer number (4363560).

Almost surely, 2^120061312 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 120061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139633920).

120061312 is an abundant number, since it is smaller than the sum of its proper divisors (159206528).

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

120061312 is an equidigital number, since it uses as much as digits as its factorization.

120061312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 120061312 is about 10957.2492898537. The cubic root of 120061312 is about 493.3264052269.

The spelling of 120061312 in words is "one hundred twenty million, sixty-one thousand, three hundred twelve".