122089 has 6 divisors (see below), whose sum is σ = 134330. Its totient is φ = 110880.

The previous prime is 122081. The next prime is 122099. The reversal of 122089 is 980221.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 27225 = 308^2 + 165^2 .

It is not a de Polignac number, because 122089 - 2³ = 122081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 384 + ... + 625.

2¹²²⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

122089 is a deficient number, since it is larger than the sum of its proper divisors (12241).

122089 is a wasteful number, since it uses less digits than its factorization.

122089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 122089 is about 349.4123638339. The cubic root of 122089 is about 49.6088141204.

Subtracting from 122089 its product of nonzero digits (288), we obtain a square (121801 = 349²).

The spelling of 122089 in words is "one hundred twenty-two thousand, eighty-nine".