122436 has 36 divisors (see below), whose sum is σ = 327600. Its totient is φ = 38448.

The previous prime is 122401. The next prime is 122443. The reversal of 122436 is 634221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 2¹¹ + 4⁸ + 2¹³ + 3 + 6⁶ .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

2¹²²⁴³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800).

122436 is an abundant number, since it is smaller than the sum of its proper divisors (205164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122436 is a wasteful number, since it uses less digits than its factorization.

122436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 122436 is about 349.9085594838. The cubic root of 122436 is about 49.6557688705.

Adding to 122436 its reverse (634221), we get a palindrome (756657).

The spelling of 122436 in words is "one hundred twenty-two thousand, four hundred thirty-six".