12202200212129 has 2 divisors, whose sum is σ = 12202200212130. Its totient is φ = 12202200212128.

The previous prime is 12202200212057. The next prime is 12202200212131. The reversal of 12202200212129 is 92121200220221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6840196852129 + 5362003360000 = 2615377^2 + 2315600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12202200212129 is a prime.

Together with 12202200212131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202200212098 and 12202200212107.

It is not a weakly prime, because it can be changed into another prime (12202200212329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6101100106064 + 6101100106065.

It is an arithmetic number, because the mean of its divisors is an integer number (6101100106065).

Almost surely, 2^{12202200212129} is an apocalyptic number.

It is an amenable number.

12202200212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202200212129 is an equidigital number, since it uses as much as digits as its factorization.

12202200212129 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 26.

The spelling of 12202200212129 in words is "twelve trillion, two hundred two billion, two hundred million, two hundred twelve thousand, one hundred twenty-nine".