12211323112081 has 2 divisors, whose sum is σ = 12211323112082. Its totient is φ = 12211323112080.

The previous prime is 12211323112073. The next prime is 12211323112133. The reversal of 12211323112081 is 18021132311221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6748351822081 + 5462971290000 = 2597759^2 + 2337300^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211323112081 - 2³ = 12211323112073 is a prime.

It is a super-2 number, since 2×12211323112081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211323110081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105661556040 + 6105661556041.

It is an arithmetic number, because the mean of its divisors is an integer number (6105661556041).

Almost surely, 2^{12211323112081} is an apocalyptic number.

It is an amenable number.

12211323112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211323112081 is an equidigital number, since it uses as much as digits as its factorization.

12211323112081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 12211323112081 in words is "twelve trillion, two hundred eleven billion, three hundred twenty-three million, one hundred twelve thousand, eighty-one".