This article describes the structure of reversible cyclic codes over the mixed alphabet \(\mathbb{Z}_2\mathbb{Z}_4\) . We determine the necessary and sufficient conditions for reversibility of \(\mathbb{Z}_2\mathbb{Z}_4\) -cyclic codes. Using the conditions of reversibility, we compute the hull of \(\mathbb{Z}_2\mathbb{Z}_4\) -cyclic codes. Furthermore, we construct \(\mathbb{Z}_2\mathbb{Z}_4\) -cyclic additive complementary dual codes. Also, we present all possible \(\mathbb{Z}_2\mathbb{Z}_4\) -reversible cyclic codes of length \(\alpha + \beta\) , where \(\alpha = 3\) and \(\beta = 9\) along with some examples demonstrating cyclic ACD codes.
