121323323121 has 256 divisors, whose sum is σ = 237546086400. Its totient is φ = 53001216000.

The previous prime is 121323323119. The next prime is 121323323203.

121323323121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121323323121 - 2¹ = 121323323119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121323323091 and 121323323100.

It is not an unprimeable number, because it can be changed into a prime (121323323101) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 213221725 + ... + 213222293.

It is an arithmetic number, because the mean of its divisors is an integer number (927914400).

Almost surely, 2^121323323121 is an apocalyptic number.

121323323121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121323323121 is a deficient number, since it is larger than the sum of its proper divisors (116222763279).

121323323121 is a wasteful number, since it uses less digits than its factorization.

121323323121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760.

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

It can be divided in two parts, 121323 and 323121, that added together give a palindrome (444444).

The spelling of 121323323121 in words is "one hundred twenty-one billion, three hundred twenty-three million, three hundred twenty-three thousand, one hundred twenty-one".