120789312 has 168 divisors, whose sum is σ = 382914144. Its totient is φ = 33481728.

The previous prime is 120789311. The next prime is 120789313. The reversal of 120789312 is 213987021.

It is an interprime number because it is at equal distance from previous prime (120789311) and next prime (120789313).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120789311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347923 + ... + 348269.

Almost surely, 2^120789312 is an apocalyptic number.

120789312 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 120789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191457072).

120789312 is an abundant number, since it is smaller than the sum of its proper divisors (262124832).

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

120789312 is a wasteful number, since it uses less digits than its factorization.

120789312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 120789312 is about 10990.4191002891. The cubic root of 120789312 is about 494.3215028127.

The spelling of 120789312 in words is "one hundred twenty million, seven hundred eighty-nine thousand, three hundred twelve".