323121312 has 120 divisors (see below), whose sum is σ = 1006327476. Its totient is φ = 101357568.

The previous prime is 323121311. The next prime is 323121341. The reversal of 323121312 is 213121323.

It can be written as a sum of positive squares in 2 ways, for example, as 309900816 + 13220496 = 17604^2 + 3636^2 .

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 not an unprimeable number, because it can be changed into a prime (323121311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40398 + ... + 47730.

Almost surely, 2^323121312 is an apocalyptic number.

323121312 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 323121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503163738).

323121312 is an abundant number, since it is smaller than the sum of its proper divisors (683206164).

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

323121312 is a wasteful number, since it uses less digits than its factorization.

323121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7372 (or 7355 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 323121312 is about 17975.5754288980. The cubic root of 323121312 is about 686.2070903924.

Adding to 323121312 its reverse (213121323), we get a palindrome (536242635).

The spelling of 323121312 in words is "three hundred twenty-three million, one hundred twenty-one thousand, three hundred twelve".