122409 has 24 divisors (see below), whose sum is σ = 212160. Its totient is φ = 66528.

The previous prime is 122401. The next prime is 122443. The reversal of 122409 is 904221.

122409 = T₇₇ + T₇₈ + ... + T₁₀₅.

It is not a de Polignac number, because 122409 - 2³ = 122401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122391 and 122400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1794 + ... + 1860.

It is an arithmetic number, because the mean of its divisors is an integer number (8840).

2¹²²⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

122409 is a deficient number, since it is larger than the sum of its proper divisors (89751).

122409 is a wasteful number, since it uses less digits than its factorization.

122409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 122409 is about 349.8699758482. The cubic root of 122409 is about 49.6521185163.

Subtracting from 122409 its product of nonzero digits (144), we obtain a triangular number (122265 = T₄₉₄).

The spelling of 122409 in words is "one hundred twenty-two thousand, four hundred nine".