12165914267081 has 2 divisors, whose sum is σ = 12165914267082. Its totient is φ = 12165914267080.

The previous prime is 12165914267051. The next prime is 12165914267167. The reversal of 12165914267081 is 18076241956121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7442442311056 + 4723471956025 = 2728084^2 + 2173355^2 .

It is a cyclic number.

It is not a de Polignac number, because 12165914267081 - 2¹⁴ = 12165914250697 is a prime.

It is a super-2 number, since 2×12165914267081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12165914267021) 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, 6082957133540 + 6082957133541.

It is an arithmetic number, because the mean of its divisors is an integer number (6082957133541).

Almost surely, 2^{12165914267081} is an apocalyptic number.

It is an amenable number.

12165914267081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12165914267081 is an equidigital number, since it uses as much as digits as its factorization.

12165914267081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 53.

The spelling of 12165914267081 in words is "twelve trillion, one hundred sixty-five billion, nine hundred fourteen million, two hundred sixty-seven thousand, eighty-one".