12211020121221 has 12 divisors (see below), whose sum is σ = 17638270360620. Its totient is φ = 8140619995200.

The previous prime is 12211020121217. The next prime is 12211020121229. The reversal of 12211020121221 is 12212102011221.

12211020121221 is a `hidden beast` number, since 1 + 221 + 1 + 0 + 201 + 21 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3769752312225 + 8441267808996 = 1941585^2 + 2905386^2 .

It is not a de Polignac number, because 12211020121221 - 2² = 12211020121217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12211020121194 and 12211020121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211020121229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3702130 + ... + 6174771.

It is an arithmetic number, because the mean of its divisors is an integer number (1469855863385).

Almost surely, 2^{12211020121221} is an apocalyptic number.

It is an amenable number.

12211020121221 is a deficient number, since it is larger than the sum of its proper divisors (5427250239399).

12211020121221 is a wasteful number, since it uses less digits than its factorization.

12211020121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10014276 (or 10014273 counting only the distinct ones).

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

Adding to 12211020121221 its reverse (12212102011221), we get a palindrome (24423122132442).

The spelling of 12211020121221 in words is "twelve trillion, two hundred eleven billion, twenty million, one hundred twenty-one thousand, two hundred twenty-one".