12301122110321 has 24 divisors (see below), whose sum is σ = 13655903292864. Its totient is φ = 11071336100000.

The previous prime is 12301122110311. The next prime is 12301122110351.

12301122110321 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-12301122110321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12301122110293 and 12301122110302.

It is not an unprimeable number, because it can be changed into a prime (12301122110311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239151476 + ... + 239202906.

It is an arithmetic number, because the mean of its divisors is an integer number (568995970536).

Almost surely, 2^{12301122110321} is an apocalyptic number.

12301122110321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12301122110321 is a deficient number, since it is larger than the sum of its proper divisors (1354781182543).

12301122110321 is a wasteful number, since it uses less digits than its factorization.

12301122110321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71125 (or 71114 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1230112 and 2110321, that added together give a palindrome (3340433).

The spelling of 12301122110321 in words is "twelve trillion, three hundred one billion, one hundred twenty-two million, one hundred ten thousand, three hundred twenty-one".