12200122202137 has 2 divisors, whose sum is σ = 12200122202138. Its totient is φ = 12200122202136.

The previous prime is 12200122202119. The next prime is 12200122202143. The reversal of 12200122202137 is 73120222100221.

12200122202137 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., 12193372593801 + 6749608336 = 3491901^2 + 82156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12200122202137 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200122202237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100061101068 + 6100061101069.

It is an arithmetic number, because the mean of its divisors is an integer number (6100061101069).

Almost surely, 2^{12200122202137} is an apocalyptic number.

It is an amenable number.

12200122202137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200122202137 is an equidigital number, since it uses as much as digits as its factorization.

12200122202137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 12200122202137 its reverse (73120222100221), we get a palindrome (85320344302358).

The spelling of 12200122202137 in words is "twelve trillion, two hundred billion, one hundred twenty-two million, two hundred two thousand, one hundred thirty-seven".