12122010122121 has 12 divisors (see below), whose sum is σ = 17509674478660. Its totient is φ = 8081291941920.

The previous prime is 12122010122111. The next prime is 12122010122143. The reversal of 12122010122121 is 12122101022121.

12122010122121 is a `hidden beast` number, since 121 + 220 + 101 + 221 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1263904335225 + 10858105786896 = 1124235^2 + 3295164^2 .

It is not a de Polignac number, because 12122010122121 - 2²⁷ = 12121875904393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122010122094 and 12122010122103.

It is not an unprimeable number, because it can be changed into a prime (12122010122111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2381986 + ... + 5469723.

Almost surely, 2^{12122010122121} is an apocalyptic number.

It is an amenable number.

12122010122121 is a deficient number, since it is larger than the sum of its proper divisors (5387664356539).

12122010122121 is a wasteful number, since it uses less digits than its factorization.

12122010122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8023256 (or 8023253 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122010122121 its reverse (12122101022121), we get a palindrome (24244111144242).

The spelling of 12122010122121 in words is "twelve trillion, one hundred twenty-two billion, ten million, one hundred twenty-two thousand, one hundred twenty-one".