12121110982417 has 2 divisors, whose sum is σ = 12121110982418. Its totient is φ = 12121110982416.

The previous prime is 12121110982369. The next prime is 12121110982433. The reversal of 12121110982417 is 71428901112121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6716411292816 + 5404699689601 = 2591604^2 + 2324801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12121110982417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121110982417.

It is not a weakly prime, because it can be changed into another prime (12121110982117) 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, 6060555491208 + 6060555491209.

It is an arithmetic number, because the mean of its divisors is an integer number (6060555491209).

Almost surely, 2^{12121110982417} is an apocalyptic number.

It is an amenable number.

12121110982417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121110982417 is an equidigital number, since it uses as much as digits as its factorization.

12121110982417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 40.

The spelling of 12121110982417 in words is "twelve trillion, one hundred twenty-one billion, one hundred ten million, nine hundred eighty-two thousand, four hundred seventeen".