321111141111123 has 96 divisors (see below), whose sum is σ = 476672604420096. Its totient is φ = 192117198240000.

The previous prime is 321111141111043. The next prime is 321111141111127.

321111141111123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321111141111123 - 2⁸ = 321111141110867 is a prime.

It is a super-2 number, since 2×321111141111123² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321111141111093 and 321111141111102.

It is not an unprimeable number, because it can be changed into a prime (321111141111127) 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, 56226777238 + ... + 56226782948.

It is an arithmetic number, because the mean of its divisors is an integer number (4965339629376).

Almost surely, 2^{321111141111123} is an apocalyptic number.

321111141111123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

321111141111123 is a deficient number, since it is larger than the sum of its proper divisors (155561463308973).

321111141111123 is a wasteful number, since it uses less digits than its factorization.

321111141111123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10097 (or 10086 counting only the distinct ones).

The product of its digits is 144, while the sum is 24.

The spelling of 321111141111123 in words is "three hundred twenty-one trillion, one hundred eleven billion, one hundred forty-one million, one hundred eleven thousand, one hundred twenty-three".