12221020211121 has 24 divisors (see below), whose sum is σ = 18584498556000. Its totient is φ = 7717363376832.

The previous prime is 12221020211063. The next prime is 12221020211171. The reversal of 12221020211121 is 12111202012221.

12221020211121 is a `hidden beast` number, since 122 + 210 + 2 + 0 + 211 + 121 = 666.

It is not a de Polignac number, because 12221020211121 - 2¹⁹ = 12221019686833 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12221020211094 and 12221020211103.

It is not an unprimeable number, because it can be changed into a prime (12221020211171) 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 23 ways as a sum of consecutive naturals, for example, 4316491 + ... + 6563088.

It is an arithmetic number, because the mean of its divisors is an integer number (774354106500).

Almost surely, 2^{12221020211121} is an apocalyptic number.

It is an amenable number.

12221020211121 is a deficient number, since it is larger than the sum of its proper divisors (6363478344879).

12221020211121 is a wasteful number, since it uses less digits than its factorization.

12221020211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886173 (or 10886170 counting only the distinct ones).

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

Adding to 12221020211121 its reverse (12111202012221), we get a palindrome (24332222223342).

The spelling of 12221020211121 in words is "twelve trillion, two hundred twenty-one billion, twenty million, two hundred eleven thousand, one hundred twenty-one".