12162717756001 has 2 divisors, whose sum is σ = 12162717756002. Its totient is φ = 12162717756000.

The previous prime is 12162717755959. The next prime is 12162717756019. The reversal of 12162717756001 is 10065771726121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11140081080976 + 1022636675025 = 3337676^2 + 1011255^2 .

It is a cyclic number.

It is not a de Polignac number, because 12162717756001 - 2⁷ = 12162717755873 is a prime.

It is not a weakly prime, because it can be changed into another prime (12162717756601) 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, 6081358878000 + 6081358878001.

It is an arithmetic number, because the mean of its divisors is an integer number (6081358878001).

Almost surely, 2^{12162717756001} is an apocalyptic number.

It is an amenable number.

12162717756001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12162717756001 is an equidigital number, since it uses as much as digits as its factorization.

12162717756001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960, while the sum is 46.

The spelling of 12162717756001 in words is "twelve trillion, one hundred sixty-two billion, seven hundred seventeen million, seven hundred fifty-six thousand, one".