122563265681 has 2 divisors, whose sum is σ = 122563265682. Its totient is φ = 122563265680.

The previous prime is 122563265647. The next prime is 122563265689. The reversal of 122563265681 is 186562365221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114419827600 + 8143438081 = 338260^2 + 90241^2 .

It is an emirp because it is prime and its reverse (186562365221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122563265681 - 2¹⁰ = 122563264657 is a prime.

It is a super-3 number, since 3×122563265681³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (122563265689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61281632840 + 61281632841.

It is an arithmetic number, because the mean of its divisors is an integer number (61281632841).

Almost surely, 2^122563265681 is an apocalyptic number.

It is an amenable number.

122563265681 is a deficient number, since it is larger than the sum of its proper divisors (1).

122563265681 is an equidigital number, since it uses as much as digits as its factorization.

122563265681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1036800, while the sum is 47.

The spelling of 122563265681 in words is "one hundred twenty-two billion, five hundred sixty-three million, two hundred sixty-five thousand, six hundred eighty-one".