12110673416993 has 2 divisors, whose sum is σ = 12110673416994. Its totient is φ = 12110673416992.

The previous prime is 12110673416971. The next prime is 12110673417047. The reversal of 12110673416993 is 39961437601121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10614902834704 + 1495770582289 = 3258052^2 + 1223017^2 .

It is a cyclic number.

It is not a de Polignac number, because 12110673416993 - 2¹⁰ = 12110673415969 is a prime.

It is a super-2 number, since 2×12110673416993² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12110673416923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055336708496 + 6055336708497.

It is an arithmetic number, because the mean of its divisors is an integer number (6055336708497).

Almost surely, 2^{12110673416993} is an apocalyptic number.

It is an amenable number.

12110673416993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12110673416993 is an equidigital number, since it uses as much as digits as its factorization.

12110673416993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1469664, while the sum is 53.

The spelling of 12110673416993 in words is "twelve trillion, one hundred ten billion, six hundred seventy-three million, four hundred sixteen thousand, nine hundred ninety-three".