321223343322123 has 96 divisors (see below), whose sum is σ = 525821491495872. Its totient is φ = 188813915896320.

The previous prime is 321223343322109. The next prime is 321223343322191.

321223343322123 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 2 + 3 + 3 + 433 + 2 + 212 + 3 = 666.

321223343322123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321223343322123 - 2¹⁸ = 321223343059979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321223343322823) 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, 137571061 + ... + 139886537.

It is an arithmetic number, because the mean of its divisors is an integer number (5477307203082).

Almost surely, 2^{321223343322123} is an apocalyptic number.

321223343322123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

321223343322123 is a deficient number, since it is larger than the sum of its proper divisors (204598148173749).

321223343322123 is a wasteful number, since it uses less digits than its factorization.

321223343322123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315866 (or 2315841 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 321223343322123 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, three hundred forty-three million, three hundred twenty-two thousand, one hundred twenty-three".