312312 has 96 divisors (see below), whose sum is σ = 1054080. Its totient is φ = 74880.

The previous prime is 312311. The next prime is 312313. The reversal of 312312 is 213213.

It is a happy number.

312312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312311) and next prime (312313).

It is a Harshad number since it is a multiple of its sum of digits (12).

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

Its product of digits (36) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24018 + ... + 24030.

It is an arithmetic number, because the mean of its divisors is an integer number (10980).

2³¹²³¹² 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 312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527040).

312312 is an abundant number, since it is smaller than the sum of its proper divisors (741768).

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

312312 is a wasteful number, since it uses less digits than its factorization.

312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 36 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 312312 is about 558.8488167653. The cubic root of 312312 is about 67.8468294047.

Adding to 312312 its reverse (213213), we get a palindrome (525525).

Subtracting from 312312 its reverse (213213), we obtain a palindrome (99099).

The spelling of 312312 in words is "three hundred twelve thousand, three hundred twelve", and thus it is an iban number.