112012200112129 has 2 divisors, whose sum is σ = 112012200112130. Its totient is φ = 112012200112128.

The previous prime is 112012200112069. The next prime is 112012200112133. The reversal of 112012200112129 is 921211002210211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111908047395600 + 104152716529 = 10578660^2 + 322727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112012200112129 is a prime.

It is not a weakly prime, because it can be changed into another prime (112012200112139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56006100056064 + 56006100056065.

It is an arithmetic number, because the mean of its divisors is an integer number (56006100056065).

Almost surely, 2^{112012200112129} is an apocalyptic number.

It is an amenable number.

112012200112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112012200112129 is an equidigital number, since it uses as much as digits as its factorization.

112012200112129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 112012200112129 in words is "one hundred twelve trillion, twelve billion, two hundred million, one hundred twelve thousand, one hundred twenty-nine".