314131223412 has 192 divisors, whose sum is σ = 845306380800. Its totient is φ = 102097138176.

The previous prime is 314131223411. The next prime is 314131223423. The reversal of 314131223412 is 214322131413.

314131223412 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 312 + 2 + 341 + 2 = 666.

314131223412 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314131223411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56832993 + ... + 56838519.

It is an arithmetic number, because the mean of its divisors is an integer number (4402637400).

Almost surely, 2^314131223412 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 314131223412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422653190400).

314131223412 is an abundant number, since it is smaller than the sum of its proper divisors (531175157388).

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

314131223412 is an equidigital number, since it uses as much as digits as its factorization.

314131223412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5694 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 314131223412 its reverse (214322131413), we get a palindrome (528453354825).

The spelling of 314131223412 in words is "three hundred fourteen billion, one hundred thirty-one million, two hundred twenty-three thousand, four hundred twelve".