12201110122249 has 2 divisors, whose sum is σ = 12201110122250. Its totient is φ = 12201110122248.

The previous prime is 12201110122207. The next prime is 12201110122259. The reversal of 12201110122249 is 94222101110221.

12201110122249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11175194356624 + 1025915765625 = 3342932^2 + 1012875^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201110122249 - 2¹³ = 12201110114057 is a prime.

It is not a weakly prime, because it can be changed into another prime (12201110122259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100555061124 + 6100555061125.

It is an arithmetic number, because the mean of its divisors is an integer number (6100555061125).

Almost surely, 2^{12201110122249} is an apocalyptic number.

It is an amenable number.

12201110122249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201110122249 is an equidigital number, since it uses as much as digits as its factorization.

12201110122249 is an evil number, because the sum of its binary digits is even.

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

The spelling of 12201110122249 in words is "twelve trillion, two hundred one billion, one hundred ten million, one hundred twenty-two thousand, two hundred forty-nine".