12225562600661 has 2 divisors, whose sum is σ = 12225562600662. Its totient is φ = 12225562600660.

The previous prime is 12225562600639. The next prime is 12225562600663. The reversal of 12225562600661 is 16600626552221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11411687978161 + 813874622500 = 3378119^2 + 902150^2 .

It is a cyclic number.

It is not a de Polignac number, because 12225562600661 - 2³⁴ = 12208382731477 is a prime.

It is a Sophie Germain prime.

Together with 12225562600663, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12225562600663) 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, 6112781300330 + 6112781300331.

It is an arithmetic number, because the mean of its divisors is an integer number (6112781300331).

Almost surely, 2^{12225562600661} is an apocalyptic number.

It is an amenable number.

12225562600661 is a deficient number, since it is larger than the sum of its proper divisors (1).

12225562600661 is an equidigital number, since it uses as much as digits as its factorization.

12225562600661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 12225562600661 in words is "twelve trillion, two hundred twenty-five billion, five hundred sixty-two million, six hundred thousand, six hundred sixty-one".