312120432 has 160 divisors (see below), whose sum is σ = 973896000. Its totient is φ = 95136768.

The previous prime is 312120427. The next prime is 312120433. The reversal of 312120432 is 234021213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836598 + ... + 836970.

It is an arithmetic number, because the mean of its divisors is an integer number (6086850).

Almost surely, 2^312120432 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 312120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486948000).

312120432 is an abundant number, since it is smaller than the sum of its proper divisors (661775568).

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

312120432 is a wasteful number, since it uses less digits than its factorization.

312120432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312120432 is about 17666.9304634393. The cubic root of 312120432 is about 678.3295445513.

Adding to 312120432 its reverse (234021213), we get a palindrome (546141645).

The spelling of 312120432 in words is "three hundred twelve million, one hundred twenty thousand, four hundred thirty-two".