122850688942809 has 9 divisors (see below), whose sum is σ = 177451043169439. Its totient is φ = 81900437127600.

The previous prime is 122850688942733. The next prime is 122850688942843. The reversal of 122850688942809 is 908249886058221.

The square root of 122850688942809 is 11083803.

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

122850688942809 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 506 + 8 + 8 + 94 + 28 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104766422389209 + 18084266553600 = 10235547^2 + 4252560^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 122850688942809 - 2²⁷ = 122850554725081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122850688942609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31404109 + ... + 35098709.

Almost surely, 2^{122850688942809} is an apocalyptic number.

122850688942809 is the 11083803-rd square number.

122850688942809 is the 5541902-nd centered octagonal number.

It is an amenable number.

122850688942809 is a deficient number, since it is larger than the sum of its proper divisors (54600354226630).

122850688942809 is an frugal number, since it uses more digits than its factorization.

122850688942809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389208 (or 3694604 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 122850688942809 in words is "one hundred twenty-two trillion, eight hundred fifty billion, six hundred eighty-eight million, nine hundred forty-two thousand, eight hundred nine".