12002012122117 has 2 divisors, whose sum is σ = 12002012122118. Its totient is φ = 12002012122116.

The previous prime is 12002012122099. The next prime is 12002012122141. The reversal of 12002012122117 is 71122121020021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10872906113281 + 1129106008836 = 3297409^2 + 1062594^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002012122117 - 2¹⁵ = 12002012089349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12002012122417) 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, 6001006061058 + 6001006061059.

It is an arithmetic number, because the mean of its divisors is an integer number (6001006061059).

Almost surely, 2^{12002012122117} is an apocalyptic number.

It is an amenable number.

12002012122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002012122117 is an equidigital number, since it uses as much as digits as its factorization.

12002012122117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 12002012122117 its reverse (71122121020021), we get a palindrome (83124133142138).

The spelling of 12002012122117 in words is "twelve trillion, two billion, twelve million, one hundred twenty-two thousand, one hundred seventeen".