122889 has 16 divisors (see below), whose sum is σ = 185472. Its totient is φ = 71808.

The previous prime is 122887. The next prime is 122891. The reversal of 122889 is 988221.

It is an interprime number because it is at equal distance from previous prime (122887) and next prime (122891).

It is not a de Polignac number, because 122889 - 2¹ = 122887 is a prime.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (122887) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (11592).

2¹²²⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

122889 is a deficient number, since it is larger than the sum of its proper divisors (62583).

122889 is a wasteful number, since it uses less digits than its factorization.

122889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176.

The product of its digits is 2304, while the sum is 30.

The square root of 122889 is about 350.5552738157. Note that the first 3 decimals coincide. The cubic root of 122889 is about 49.7169338283.

It can be divided in two parts, 12288 and 9, that multiplied together give a cube (110592 = 48³).

The spelling of 122889 in words is "one hundred twenty-two thousand, eight hundred eighty-nine".