12017642241601 has 2 divisors, whose sum is σ = 12017642241602. Its totient is φ = 12017642241600.

The previous prime is 12017642241599. The next prime is 12017642241641. The reversal of 12017642241601 is 10614224671021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7411875570576 + 4605766671025 = 2722476^2 + 2146105^2 .

It is a cyclic number.

It is not a de Polignac number, because 12017642241601 - 2¹ = 12017642241599 is a prime.

It is a super-2 number, since 2×12017642241601² (a number of 27 digits) contains 22 as substring.

Together with 12017642241599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12017642241641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6008821120800 + 6008821120801.

It is an arithmetic number, because the mean of its divisors is an integer number (6008821120801).

Almost surely, 2^{12017642241601} is an apocalyptic number.

It is an amenable number.

12017642241601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12017642241601 is an equidigital number, since it uses as much as digits as its factorization.

12017642241601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 12017642241601 in words is "twelve trillion, seventeen billion, six hundred forty-two million, two hundred forty-one thousand, six hundred one".