12211200112129 has 2 divisors, whose sum is σ = 12211200112130. Its totient is φ = 12211200112128.

The previous prime is 12211200112063. The next prime is 12211200112159. The reversal of 12211200112129 is 92121100211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11145715790400 + 1065484321729 = 3338520^2 + 1032223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12211200112129 is a prime.

It is a super-2 number, since 2×12211200112129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211200112159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105600056064 + 6105600056065.

It is an arithmetic number, because the mean of its divisors is an integer number (6105600056065).

Almost surely, 2^{12211200112129} is an apocalyptic number.

It is an amenable number.

12211200112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211200112129 is an equidigital number, since it uses as much as digits as its factorization.

12211200112129 is an evil number, because the sum of its binary digits is even.

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

The spelling of 12211200112129 in words is "twelve trillion, two hundred eleven billion, two hundred million, one hundred twelve thousand, one hundred twenty-nine".