Base | Representation |
---|---|
bin | 101110100110… |
… | …111100000000 |
3 | 211222202002200 |
4 | 232212330000 |
5 | 11111434422 |
6 | 1113513200 |
7 | 205565214 |
oct | 56467400 |
9 | 24882080 |
10 | 12218112 |
11 | 6995715 |
12 | 4112800 |
13 | 26ba36a |
14 | 18a0944 |
15 | 11152ac |
hex | ba6f00 |
12218112 has 54 divisors (see below), whose sum is σ = 35234472. Its totient is φ = 4071936.
The previous prime is 12218111. The next prime is 12218113. The reversal of 12218112 is 21181221.
It is an interprime number because it is at equal distance from previous prime (12218111) and next prime (12218113).
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 and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12218111) by changing a digit.
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 5 ways as a sum of consecutive naturals, for example, 348 + ... + 4955.
Almost surely, 212218112 is an apocalyptic number.
12218112 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 12218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617236).
12218112 is an abundant number, since it is smaller than the sum of its proper divisors (23016360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12218112 is an equidigital number, since it uses as much as digits as its factorization.
12218112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5325 (or 5308 counting only the distinct ones).
The product of its digits is 64, while the sum is 18.
The square root of 12218112 is about 3495.4416030024. The cubic root of 12218112 is about 230.3216168552.
Adding to 12218112 its reverse (21181221), we get a palindrome (33399333).
The spelling of 12218112 in words is "twelve million, two hundred eighteen thousand, one hundred twelve".
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