321221132232 has 256 divisors, whose sum is σ = 1125106053120. Its totient is φ = 73667404800.

The previous prime is 321221132191. The next prime is 321221132233. The reversal of 321221132232 is 232231122123.

321221132232 is digitally balanced in base 4, 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 (24).

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

It is not an unprimeable number, because it can be changed into a prime (321221132233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261882 + ... + 843222.

It is an arithmetic number, because the mean of its divisors is an integer number (4394945520).

Almost surely, 2^321221132232 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 321221132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562553026560).

321221132232 is an abundant number, since it is smaller than the sum of its proper divisors (803884920888).

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

321221132232 is a wasteful number, since it uses less digits than its factorization.

321221132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581404 (or 581400 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 321221132232 its reverse (232231122123), we get a palindrome (553452254355).

The spelling of 321221132232 in words is "three hundred twenty-one billion, two hundred twenty-one million, one hundred thirty-two thousand, two hundred thirty-two".