12010001122129 has 2 divisors, whose sum is σ = 12010001122130. Its totient is φ = 12010001122128.

The previous prime is 12010001122103. The next prime is 12010001122153. The reversal of 12010001122129 is 92122110001021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11832361632400 + 177639489729 = 3439820^2 + 421473^2 .

It is a cyclic number.

It is not a de Polignac number, because 12010001122129 - 2⁷ = 12010001122001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12010001122429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005000561064 + 6005000561065.

It is an arithmetic number, because the mean of its divisors is an integer number (6005000561065).

Almost surely, 2^{12010001122129} is an apocalyptic number.

It is an amenable number.

12010001122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12010001122129 is an equidigital number, since it uses as much as digits as its factorization.

12010001122129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 12010001122129 in words is "twelve trillion, ten billion, one million, one hundred twenty-two thousand, one hundred twenty-nine".