314121312 has 72 divisors (see below), whose sum is σ = 902210400. Its totient is φ = 103660800.

The previous prime is 314121299. The next prime is 314121329. The reversal of 314121312 is 213121413.

It is a tau number, because it is divible by the number of its divisors (72).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23689 + ... + 34487.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^314121312 is an apocalyptic number.

314121312 is a gapful number since it is divisible by the number (32) 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 314121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451105200).

314121312 is an abundant number, since it is smaller than the sum of its proper divisors (588089088).

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

314121312 is a wasteful number, since it uses less digits than its factorization.

314121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916 (or 10905 counting only the distinct ones).

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

The square root of 314121312 is about 17723.4678322274. The cubic root of 314121312 is about 679.7759584878.

Adding to 314121312 its reverse (213121413), we get a palindrome (527242725).

The spelling of 314121312 in words is "three hundred fourteen million, one hundred twenty-one thousand, three hundred twelve".