A positive integer n is called a good number if every integer multiple of n is divisible by n however its digits are rearranged. How many good numbers are there?<spanclass=′latex−bold′>(A)</span>3<spanclass=′latex−bold′>(B)</span>4<spanclass=′latex−bold′>(C)</span>6<spanclass=′latex−bold′>(D)</span>12<spanclass=′latex−bold′>(E)</span>Infinitely many