314312112 has 120 divisors (see below), whose sum is σ = 939654144. Its totient is φ = 97840512.

The previous prime is 314312071. The next prime is 314312137. The reversal of 314312112 is 211213413.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141313 + ... + 143519.

Almost surely, 2^314312112 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 314312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469827072).

314312112 is an abundant number, since it is smaller than the sum of its proper divisors (625342032).

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

314312112 is a wasteful number, since it uses less digits than its factorization.

314312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2278 counting only the distinct ones).

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

The square root of 314312112 is about 17728.8497088785. The cubic root of 314312112 is about 679.9135645614.

Adding to 314312112 its reverse (211213413), we get a palindrome (525525525).

The spelling of 314312112 in words is "three hundred fourteen million, three hundred twelve thousand, one hundred twelve".