121133040331121 has 16 divisors (see below), whose sum is σ = 149142303657984. Its totient is φ = 95805857623104.

The previous prime is 121133040331031. The next prime is 121133040331183.

121133040331121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 121133040331121 - 2³⁰ = 121131966589297 is a prime.

It is a super-2 number, since 2×121133040331121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121133040331321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247454090 + ... + 247943123.

It is an arithmetic number, because the mean of its divisors is an integer number (9321393978624).

Almost surely, 2^{121133040331121} is an apocalyptic number.

It is an amenable number.

121133040331121 is a deficient number, since it is larger than the sum of its proper divisors (28009263326863).

121133040331121 is a wasteful number, since it uses less digits than its factorization.

121133040331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495399920.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 121133040331121 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, forty million, three hundred thirty-one thousand, one hundred twenty-one".