321223312223232 has 88 divisors (see below), whose sum is σ = 856201095568896. Its totient is φ = 107071453974528.

The previous prime is 321223312223213. The next prime is 321223312223237. The reversal of 321223312223232 is 232322213322123.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 321223312223193 and 321223312223202.

It is not an unprimeable number, because it can be changed into a prime (321223312223237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110207113 + ... + 113084279.

It is an arithmetic number, because the mean of its divisors is an integer number (9729557904192).

Almost surely, 2^{321223312223232} is an apocalyptic number.

321223312223232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321223312223232 is an abundant number, since it is smaller than the sum of its proper divisors (534977783345664).

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

321223312223232 is a wasteful number, since it uses less digits than its factorization.

321223312223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913533 (or 2913515 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 321223312223232 its reverse (232322213322123), we get a palindrome (553545525545355).

The spelling of 321223312223232 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, three hundred twelve million, two hundred twenty-three thousand, two hundred thirty-two".