12000120012193 has 2 divisors, whose sum is σ = 12000120012194. Its totient is φ = 12000120012192.

The previous prime is 12000120012191. The next prime is 12000120012217. The reversal of 12000120012193 is 39121002100021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11888648832064 + 111471180129 = 3447992^2 + 333873^2 .

It is an emirp because it is prime and its reverse (39121002100021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12000120012193 - 2¹ = 12000120012191 is a prime.

Together with 12000120012191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12000120012191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000060006096 + 6000060006097.

It is an arithmetic number, because the mean of its divisors is an integer number (6000060006097).

Almost surely, 2^{12000120012193} is an apocalyptic number.

It is an amenable number.

12000120012193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000120012193 is an equidigital number, since it uses as much as digits as its factorization.

12000120012193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 12000120012193 in words is "twelve trillion, one hundred twenty million, twelve thousand, one hundred ninety-three".