Base | Representation |
---|---|
bin | 101111011101… |
… | …101000000000 |
3 | 212102010100222 |
4 | 233131220000 |
5 | 11141121422 |
6 | 1122402212 |
7 | 210520244 |
oct | 57355000 |
9 | 25363328 |
10 | 12442112 |
11 | 7028a41 |
12 | 4200368 |
13 | 27682c7 |
14 | 191c424 |
15 | 115b842 |
hex | bdda00 |
12442112 has 40 divisors (see below), whose sum is σ = 26188800. Its totient is φ = 5889024.
The previous prime is 12442099. The next prime is 12442117. The reversal of 12442112 is 21124421.
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 not an unprimeable number, because it can be changed into a prime (12442117) 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 3 ways as a sum of consecutive naturals, for example, 9089 + ... + 10367.
It is an arithmetic number, because the mean of its divisors is an integer number (654720).
Almost surely, 212442112 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 12442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094400).
12442112 is an abundant number, since it is smaller than the sum of its proper divisors (13746688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12442112 is an equidigital number, since it uses as much as digits as its factorization.
12442112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1316 (or 1300 counting only the distinct ones).
The product of its digits is 128, while the sum is 17.
The square root of 12442112 is about 3527.3378063350. The cubic root of 12442112 is about 231.7206308276.
Adding to 12442112 its reverse (21124421), we get a palindrome (33566533).
The spelling of 12442112 in words is "twelve million, four hundred forty-two thousand, one hundred twelve".
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