321234222432123 has 288 divisors, whose sum is σ = 645012474882048. Its totient is φ = 149799012042240.

The previous prime is 321234222432119. The next prime is 321234222432133.

321234222432123 is a `hidden beast` number, since 3 + 2 + 12 + 3 + 422 + 2 + 4 + 3 + 212 + 3 = 666.

321234222432123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321234222432123 - 2² = 321234222432119 is a prime.

It is a super-3 number, since 3×321234222432123³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (321234222432133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7564304536 + ... + 7564347002.

It is an arithmetic number, because the mean of its divisors is an integer number (2239626648896).

Almost surely, 2^{321234222432123} is an apocalyptic number.

321234222432123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

321234222432123 is an abundant number, since it is smaller than the sum of its proper divisors (323778252449925).

321234222432123 is a wasteful number, since it uses less digits than its factorization.

321234222432123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44615 (or 44601 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 321234222432123 in words is "three hundred twenty-one trillion, two hundred thirty-four billion, two hundred twenty-two million, four hundred thirty-two thousand, one hundred twenty-three".