122205581 has 2 divisors, whose sum is σ = 122205582. Its totient is φ = 122205580.

The previous prime is 122205563. The next prime is 122205583. The reversal of 122205581 is 185502221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100200100 + 22005481 = 10010^2 + 4691^2 .

It is a cyclic number.

It is not a de Polignac number, because 122205581 - 2¹⁰ = 122204557 is a prime.

It is a super-2 number, since 2×122205581² = 29868408055095122, which contains 22 as substring.

Together with 122205583, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122205581.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122205583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61102790 + 61102791.

It is an arithmetic number, because the mean of its divisors is an integer number (61102791).

Almost surely, 2^122205581 is an apocalyptic number.

It is an amenable number.

122205581 is a deficient number, since it is larger than the sum of its proper divisors (1).

122205581 is an equidigital number, since it uses as much as digits as its factorization.

122205581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 122205581 is about 11054.6633146379. The cubic root of 122205581 is about 496.2459934071.

The spelling of 122205581 in words is "one hundred twenty-two million, two hundred five thousand, five hundred eighty-one".