321222132 has 288 divisors, whose sum is σ = 1106058240. Its totient is φ = 78304320.

The previous prime is 321222131. The next prime is 321222179. The reversal of 321222132 is 231222123.

321222132 is digitally balanced in base 3, 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 (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 (321222131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3002023 + ... + 3002129.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^321222132 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 321222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

321222132 is an abundant number, since it is smaller than the sum of its proper divisors (784836108).

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

321222132 is a wasteful number, since it uses less digits than its factorization.

321222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 321222132 is about 17922.6708947076. The cubic root of 321222132 is about 684.8600292977.

Adding to 321222132 its reverse (231222123), we get a palindrome (552444255).

Subtracting from 321222132 its reverse (231222123), we obtain a palindrome (90000009).

The spelling of 321222132 in words is "three hundred twenty-one million, two hundred twenty-two thousand, one hundred thirty-two".