312413112 has 160 divisors (see below), whose sum is σ = 978793200. Its totient is φ = 92275200.

The previous prime is 312413093. The next prime is 312413137. The reversal of 312413112 is 211314213.

312413112 is a `hidden beast` number, since 312 + 41 + 311 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291714 + ... + 292782.

Almost surely, 2^312413112 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 312413112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489396600).

312413112 is an abundant number, since it is smaller than the sum of its proper divisors (666380088).

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

312413112 is a wasteful number, since it uses less digits than its factorization.

312413112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1126 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 312413112 is about 17675.2117950535. The cubic root of 312413112 is about 678.5415049007.

Adding to 312413112 its reverse (211314213), we get a palindrome (523727325).

The spelling of 312413112 in words is "three hundred twelve million, four hundred thirteen thousand, one hundred twelve".