121233323332121 has 48 divisors (see below), whose sum is σ = 173655481249152. Its totient is φ = 82071333527040.

The previous prime is 121233323332103. The next prime is 121233323332129.

121233323332121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121233323332121 - 2¹⁰ = 121233323331097 is a prime.

It is a super-3 number, since 3×121233323332121³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121233323332129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323642255 + ... + 324016628.

It is an arithmetic number, because the mean of its divisors is an integer number (3617822526024).

Almost surely, 2^{121233323332121} is an apocalyptic number.

121233323332121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121233323332121 is a deficient number, since it is larger than the sum of its proper divisors (52422157917031).

121233323332121 is a wasteful number, since it uses less digits than its factorization.

121233323332121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647658942 (or 647658931 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 121233323332121 in words is "one hundred twenty-one trillion, two hundred thirty-three billion, three hundred twenty-three million, three hundred thirty-two thousand, one hundred twenty-one".