218124 has 36 divisors (see below), whose sum is σ = 565656. Its totient is φ = 70848.

The previous prime is 218117. The next prime is 218131. The reversal of 218124 is 421812.

It is an interprime number because it is at equal distance from previous prime (218117) and next prime (218131).

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 junction number, because it is equal to n+sod(n) for n = 218097 and 218106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2587 + ... + 2669.

2²¹⁸¹²⁴ 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 218124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282828).

218124 is an abundant number, since it is smaller than the sum of its proper divisors (347532).

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

218124 is a wasteful number, since it uses less digits than its factorization.

218124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 218124 is about 467.0374717301. The cubic root of 218124 is about 60.1960255357.

Adding to 218124 its reverse (421812), we get a palindrome (639936).

The spelling of 218124 in words is "two hundred eighteen thousand, one hundred twenty-four".