122565322161 has 48 divisors (see below), whose sum is σ = 188472707280. Its totient is φ = 76486533120.

The previous prime is 122565322157. The next prime is 122565322169. The reversal of 122565322161 is 161223565221.

122565322161 is a `hidden beast` number, since 1 + 2 + 2 + 565 + 32 + 2 + 1 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 834112161 + 121731210000 = 28881^2 + 348900^2 .

It is not a de Polignac number, because 122565322161 - 2² = 122565322157 is a prime.

It is a super-3 number, since 3×122565322161³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122565322169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22197081 + ... + 22202601.

It is an arithmetic number, because the mean of its divisors is an integer number (3926514735).

Almost surely, 2^122565322161 is an apocalyptic number.

It is an amenable number.

122565322161 is a deficient number, since it is larger than the sum of its proper divisors (65907385119).

122565322161 is a wasteful number, since it uses less digits than its factorization.

122565322161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6303 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 122565322161 its reverse (161223565221), we get a palindrome (283788887382).

The spelling of 122565322161 in words is "one hundred twenty-two billion, five hundred sixty-five million, three hundred twenty-two thousand, one hundred sixty-one".