122313171289 has 27 divisors (see below), whose sum is σ = 131307795423. Its totient is φ = 113917830624.

The previous prime is 122313171271. The next prime is 122313171311. The reversal of 122313171289 is 982171313221.

The square root of 122313171289 is 349733.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24839336025 + 97473835264 = 157605^2 + 312208^2 .

It is not a de Polignac number, because 122313171289 - 2²⁵ = 122279616857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122313171229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 524949117 + ... + 524949349.

Almost surely, 2^122313171289 is an apocalyptic number.

122313171289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

122313171289 is the 349733-rd square number.

122313171289 is the 174867-th centered octagonal number.

It is an amenable number.

122313171289 is a deficient number, since it is larger than the sum of its proper divisors (8994624134).

122313171289 is an frugal number, since it uses more digits than its factorization.

122313171289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its digits is 36288, while the sum is 40.

The spelling of 122313171289 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred seventy-one thousand, two hundred eighty-nine".