121322121223121 has 64 divisors (see below), whose sum is σ = 151105714099200. Its totient is φ = 94846961664000.

The previous prime is 121322121223109. The next prime is 121322121223129.

121322121223121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121322121223121 - 2³⁰ = 121321047481297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121322121223129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9561197945 + ... + 9561210633.

It is an arithmetic number, because the mean of its divisors is an integer number (2361026782800).

Almost surely, 2^{121322121223121} is an apocalyptic number.

It is an amenable number.

121322121223121 is a deficient number, since it is larger than the sum of its proper divisors (29783592876079).

121322121223121 is a wasteful number, since it uses less digits than its factorization.

121322121223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14850.

The product of its digits is 1152, while the sum is 26.

The spelling of 121322121223121 in words is "one hundred twenty-one trillion, three hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-three thousand, one hundred twenty-one".