22232003112961 has 2 divisors, whose sum is σ = 22232003112962. Its totient is φ = 22232003112960.

The previous prime is 22232003112929. The next prime is 22232003113091. The reversal of 22232003112961 is 16921130023222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16555906521025 + 5676096591936 = 4068895^2 + 2382456^2 .

It is a cyclic number.

It is not a de Polignac number, because 22232003112961 - 2⁵ = 22232003112929 is a prime.

It is not a weakly prime, because it can be changed into another prime (22232003112061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11116001556480 + 11116001556481.

It is an arithmetic number, because the mean of its divisors is an integer number (11116001556481).

Almost surely, 2^{22232003112961} is an apocalyptic number.

It is an amenable number.

22232003112961 is a deficient number, since it is larger than the sum of its proper divisors (1).

22232003112961 is an equidigital number, since it uses as much as digits as its factorization.

22232003112961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 22232003112961 in words is "twenty-two trillion, two hundred thirty-two billion, three million, one hundred twelve thousand, nine hundred sixty-one".