12001021121129 has 2 divisors, whose sum is σ = 12001021121130. Its totient is φ = 12001021121128.

The previous prime is 12001021121081. The next prime is 12001021121149. The reversal of 12001021121129 is 92112112010021.

It is a happy number.

12001021121129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11146570467904 + 854450653225 = 3338648^2 + 924365^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001021121129 - 2⁴⁰ = 10901509493353 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12001021121149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000510560564 + 6000510560565.

It is an arithmetic number, because the mean of its divisors is an integer number (6000510560565).

Almost surely, 2^{12001021121129} is an apocalyptic number.

It is an amenable number.

12001021121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001021121129 is an equidigital number, since it uses as much as digits as its factorization.

12001021121129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 12001021121129 in words is "twelve trillion, one billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty-nine".