321233112 has 72 divisors (see below), whose sum is σ = 894429900. Its totient is φ = 104151744.

The previous prime is 321233093. The next prime is 321233113. The reversal of 321233112 is 211332123.

321233112 is a `hidden beast` number, since 321 + 2 + 331 + 12 = 666.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321233113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96939 + ... + 100197.

Almost surely, 2^321233112 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 321233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447214950).

321233112 is an abundant number, since it is smaller than the sum of its proper divisors (573196788).

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

321233112 is a wasteful number, since it uses less digits than its factorization.

321233112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3301 counting only the distinct ones).

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

The square root of 321233112 is about 17922.9772080422. The cubic root of 321233112 is about 684.8678324933.

Adding to 321233112 its reverse (211332123), we get a palindrome (532565235).

The spelling of 321233112 in words is "three hundred twenty-one million, two hundred thirty-three thousand, one hundred twelve".