12200200112249 has 2 divisors, whose sum is σ = 12200200112250. Its totient is φ = 12200200112248.

The previous prime is 12200200112209. The next prime is 12200200112281. The reversal of 12200200112249 is 94221100200221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12013800684649 + 186399427600 = 3466093^2 + 431740^2 .

It is an emirp because it is prime and its reverse (94221100200221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12200200112249 - 2¹² = 12200200108153 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200200112209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100100056124 + 6100100056125.

It is an arithmetic number, because the mean of its divisors is an integer number (6100100056125).

Almost surely, 2^{12200200112249} is an apocalyptic number.

It is an amenable number.

12200200112249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200200112249 is an equidigital number, since it uses as much as digits as its factorization.

12200200112249 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 26.

The spelling of 12200200112249 in words is "twelve trillion, two hundred billion, two hundred million, one hundred twelve thousand, two hundred forty-nine".