12122104165681 has 2 divisors, whose sum is σ = 12122104165682. Its totient is φ = 12122104165680.

The previous prime is 12122104165679. The next prime is 12122104165687. The reversal of 12122104165681 is 18656140122121.

12122104165681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9300157747456 + 2821946418225 = 3049616^2 + 1679865^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122104165681 - 2¹ = 12122104165679 is a prime.

It is a super-2 number, since 2×12122104165681² (a number of 27 digits) contains 22 as substring.

Together with 12122104165679, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12122104165687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061052082840 + 6061052082841.

It is an arithmetic number, because the mean of its divisors is an integer number (6061052082841).

Almost surely, 2^{12122104165681} is an apocalyptic number.

It is an amenable number.

12122104165681 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122104165681 is an equidigital number, since it uses as much as digits as its factorization.

12122104165681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 12122104165681 in words is "twelve trillion, one hundred twenty-two billion, one hundred four million, one hundred sixty-five thousand, six hundred eighty-one".