12200002122137 has 2 divisors, whose sum is σ = 12200002122138. Its totient is φ = 12200002122136.

The previous prime is 12200002122089. The next prime is 12200002122149. The reversal of 12200002122137 is 73122120000221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12050867902096 + 149134220041 = 3471436^2 + 386179^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200002122137 - 2¹² = 12200002118041 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200002122167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100001061068 + 6100001061069.

It is an arithmetic number, because the mean of its divisors is an integer number (6100001061069).

Almost surely, 2^{12200002122137} is an apocalyptic number.

It is an amenable number.

12200002122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200002122137 is an equidigital number, since it uses as much as digits as its factorization.

12200002122137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 12200002122137 its reverse (73122120000221), we get a palindrome (85322122122358).

The spelling of 12200002122137 in words is "twelve trillion, two hundred billion, two million, one hundred twenty-two thousand, one hundred thirty-seven".