120132312 has 64 divisors (see below), whose sum is σ = 314772480. Its totient is φ = 38134272.

The previous prime is 120132301. The next prime is 120132317. The reversal of 120132312 is 213231021.

It is a junction number, because it is equal to n+sod(n) for n = 120132291 and 120132300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120132317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202288 + ... + 202880.

It is an arithmetic number, because the mean of its divisors is an integer number (4918320).

Almost surely, 2^120132312 is an apocalyptic number.

120132312 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 120132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157386240).

120132312 is an abundant number, since it is smaller than the sum of its proper divisors (194640168).

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

120132312 is a wasteful number, since it uses less digits than its factorization.

120132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 120132312 is about 10960.4886752371. The cubic root of 120132312 is about 493.4236313082.

Adding to 120132312 its reverse (213231021), we get a palindrome (333363333).

The spelling of 120132312 in words is "one hundred twenty million, one hundred thirty-two thousand, three hundred twelve".