122806009133289 has 12 divisors (see below), whose sum is σ = 177386684775300. Its totient is φ = 81870567922464.

The previous prime is 122806009133279. The next prime is 122806009133303. The reversal of 122806009133289 is 982331900608221.

122806009133289 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 0 + 600 + 9 + 1 + 3 + 3 + 28 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65204284556889 + 57601724576400 = 8074917^2 + 7589580^2 .

It is not a de Polignac number, because 122806009133289 - 2⁸ = 122806009133033 is a prime.

It is a super-3 number, since 3×122806009133289³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (122806009133209) 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 in 11 ways as a sum of consecutive naturals, for example, 951894 + ... + 15700895.

It is an arithmetic number, because the mean of its divisors is an integer number (14782223731275).

Almost surely, 2^{122806009133289} is an apocalyptic number.

It is an amenable number.

122806009133289 is a deficient number, since it is larger than the sum of its proper divisors (54580675642011).

122806009133289 is a wasteful number, since it uses less digits than its factorization.

122806009133289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17472184 (or 17472181 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 122806009133289 in words is "one hundred twenty-two trillion, eight hundred six billion, nine million, one hundred thirty-three thousand, two hundred eighty-nine".