18218112 has 128 divisors (see below), whose sum is σ = 55814400. Its totient is φ = 5207040.

The previous prime is 18218107. The next prime is 18218129. The reversal of 18218112 is 21181281.

18218112 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80143 + ... + 80369.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^18218112 is an apocalyptic number.

18218112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907200).

18218112 is an abundant number, since it is smaller than the sum of its proper divisors (37596288).

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

18218112 is a wasteful number, since it uses less digits than its factorization.

18218112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

The square root of 18218112 is about 4268.2680328208. The cubic root of 18218112 is about 263.1284389543.

Adding to 18218112 its reverse (21181281), we get a palindrome (39399393).

It can be divided in two parts, 18 and 218112, that added together give a triangular number (218130 = T₆₆₀).

The spelling of 18218112 in words is "eighteen million, two hundred eighteen thousand, one hundred twelve".