12211122111241 has 2 divisors, whose sum is σ = 12211122111242. Its totient is φ = 12211122111240.

The previous prime is 12211122111197. The next prime is 12211122111259. The reversal of 12211122111241 is 14211122111221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9966623744016 + 2244498367225 = 3156996^2 + 1498165^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211122111241 - 2²¹ = 12211120014089 is a prime.

It is a super-2 number, since 2×12211122111241² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211122111541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105561055620 + 6105561055621.

It is an arithmetic number, because the mean of its divisors is an integer number (6105561055621).

Almost surely, 2^{12211122111241} is an apocalyptic number.

It is an amenable number.

12211122111241 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211122111241 is an equidigital number, since it uses as much as digits as its factorization.

12211122111241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 128, while the sum is 22.

Adding to 12211122111241 its reverse (14211122111221), we get a palindrome (26422244222462).

The spelling of 12211122111241 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, two hundred forty-one".