121233332121 has 64 divisors (see below), whose sum is σ = 181892549376. Its totient is φ = 71207424000.

The previous prime is 121233332111. The next prime is 121233332149.

121233332121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121233332121 - 2¹⁷ = 121233201049 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121233332091 and 121233332100.

It is not an unprimeable number, because it can be changed into a prime (121233332111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33331515 + ... + 33335151.

It is an arithmetic number, because the mean of its divisors is an integer number (2842071084).

Almost surely, 2^121233332121 is an apocalyptic number.

121233332121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121233332121 is a deficient number, since it is larger than the sum of its proper divisors (60659217255).

121233332121 is a wasteful number, since it uses less digits than its factorization.

121233332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962.

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

It can be divided in two parts, 121233 and 332121, that added together give a palindrome (453354).

The spelling of 121233332121 in words is "one hundred twenty-one billion, two hundred thirty-three million, three hundred thirty-two thousand, one hundred twenty-one".