121233113123121 has 6 divisors (see below), whose sum is σ = 175114496733410. Its totient is φ = 80822075415408.

The previous prime is 121233113123063. The next prime is 121233113123153. The reversal of 121233113123121 is 121321311332121.

121233113123121 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 31 + 1 + 312 + 312 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64985138104896 + 56247975018225 = 8061336^2 + 7499865^2 .

It is not a de Polignac number, because 121233113123121 - 2⁹ = 121233113122609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121233113123191) 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 5 ways as a sum of consecutive naturals, for example, 6735172951276 + ... + 6735172951293.

Almost surely, 2^{121233113123121} is an apocalyptic number.

It is an amenable number.

121233113123121 is a deficient number, since it is larger than the sum of its proper divisors (53881383610289).

121233113123121 is a wasteful number, since it uses less digits than its factorization.

121233113123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13470345902575 (or 13470345902572 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 121233113123121 its reverse (121321311332121), we get a palindrome (242554424455242).

The spelling of 121233113123121 in words is "one hundred twenty-one trillion, two hundred thirty-three billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred twenty-one".