121224242422121 has 8 divisors (see below), whose sum is σ = 123781818189864. Its totient is φ = 118690909079040.

The previous prime is 121224242422099. The next prime is 121224242422187.

121224242422121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 16868598979600 + 104355643442521 = 4107140^2 + 10215461^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121224242422121 - 2¹⁰ = 121224242421097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121224242422421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6060596060 + ... + 6060616061.

It is an arithmetic number, because the mean of its divisors is an integer number (15472727273733).

Almost surely, 2^{121224242422121} is an apocalyptic number.

It is an amenable number.

121224242422121 is a deficient number, since it is larger than the sum of its proper divisors (2557575767743).

121224242422121 is a wasteful number, since it uses less digits than its factorization.

121224242422121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12121212331.

The product of its digits is 16384, while the sum is 32.

The spelling of 121224242422121 in words is "one hundred twenty-one trillion, two hundred twenty-four billion, two hundred forty-two million, four hundred twenty-two thousand, one hundred twenty-one".