321321123123 has 64 divisors (see below), whose sum is σ = 590779241472. Its totient is φ = 149915681280.

The previous prime is 321321123077. The next prime is 321321123161.

321321123123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321321123123 - 2⁶ = 321321123059 is a prime.

It is a super-2 number, since 2×321321123123² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321321123093 and 321321123102.

It is not an unprimeable number, because it can be changed into a prime (321321123173) 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, 1334836 + ... + 1557057.

It is an arithmetic number, because the mean of its divisors is an integer number (9230925648).

Almost surely, 2^321321123123 is an apocalyptic number.

321321123123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

321321123123 is a deficient number, since it is larger than the sum of its proper divisors (269458118349).

321321123123 is a wasteful number, since it uses less digits than its factorization.

321321123123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891964.

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 321321 and 123123, that added together give a palindrome (444444).

The spelling of 321321123123 in words is "three hundred twenty-one billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred twenty-three".