122544 has 60 divisors (see below), whose sum is σ = 367536. Its totient is φ = 38016.

The previous prime is 122533. The next prime is 122557. The reversal of 122544 is 445221.

122544 is a `hidden beast` number, since 122 + 544 = 666.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122544.

It is an unprimeable number.

122544 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3294 + ... + 3330.

2¹²²⁵⁴⁴ 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 122544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183768).

122544 is an abundant number, since it is smaller than the sum of its proper divisors (244992).

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

122544 is a wasteful number, since it uses less digits than its factorization.

122544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 122544 is about 350.0628514996. The cubic root of 122544 is about 49.6703649234.

Adding to 122544 its reverse (445221), we get a palindrome (567765).

It can be divided in two parts, 122 and 544, that added together give a palindrome (666).

The spelling of 122544 in words is "one hundred twenty-two thousand, five hundred forty-four".