312120444 has 24 divisors (see below), whose sum is σ = 729590400. Its totient is φ = 103853104.

The previous prime is 312120437. The next prime is 312120449. The reversal of 312120444 is 444021213.

It is a self number, because there is not a number n which added to its sum of digits gives 312120444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16344 + ... + 29855.

It is an arithmetic number, because the mean of its divisors is an integer number (30399600).

Almost surely, 2^312120444 is an apocalyptic number.

It is an amenable number.

312120444 is an abundant number, since it is smaller than the sum of its proper divisors (417469956).

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

312120444 is a wasteful number, since it uses less digits than its factorization.

312120444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46769 (or 46767 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 312120444 is about 17666.9308030569. The cubic root of 312120444 is about 678.3295532445.

Adding to 312120444 its reverse (444021213), we get a palindrome (756141657).

The spelling of 312120444 in words is "three hundred twelve million, one hundred twenty thousand, four hundred forty-four".