12122222002129 has 2 divisors, whose sum is σ = 12122222002130. Its totient is φ = 12122222002128.

The previous prime is 12122222002073. The next prime is 12122222002169. The reversal of 12122222002129 is 92120022222121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11619508387600 + 502713614529 = 3408740^2 + 709023^2 .

It is an emirp because it is prime and its reverse (92120022222121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12122222002129 - 2¹⁷ = 12122221871057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122222002097 and 12122222002106.

It is not a weakly prime, because it can be changed into another prime (12122222002169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061111001064 + 6061111001065.

It is an arithmetic number, because the mean of its divisors is an integer number (6061111001065).

Almost surely, 2^{12122222002129} is an apocalyptic number.

It is an amenable number.

12122222002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122222002129 is an equidigital number, since it uses as much as digits as its factorization.

12122222002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 12122222002129 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, two thousand, one hundred twenty-nine".