321123312 has 160 divisors (see below), whose sum is σ = 962438400. Its totient is φ = 102428928.

The previous prime is 321123307. The next prime is 321123349. The reversal of 321123312 is 213321123.

321123312 is a `hidden beast` number, since 321 + 12 + 331 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1095838 + ... + 1096130.

It is an arithmetic number, because the mean of its divisors is an integer number (6015240).

Almost surely, 2^321123312 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 321123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481219200).

321123312 is an abundant number, since it is smaller than the sum of its proper divisors (641315088).

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

321123312 is a wasteful number, since it uses less digits than its factorization.

321123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

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

The square root of 321123312 is about 17919.9138390786. The cubic root of 321123312 is about 684.7897925335.

Adding to 321123312 its reverse (213321123), we get a palindrome (534444435).

The spelling of 321123312 in words is "three hundred twenty-one million, one hundred twenty-three thousand, three hundred twelve".