rotate table (90 degrees) and stretch to fill whole page

Is it like this?

\documentclass{book}

\usepackage{tabularx}
\usepackage{adjustbox}
\usepackage{showframe}

\begin{document}

\pagestyle{empty}
\hfill
\begin{adjustbox}{angle=90}    
  \begin{tabularx}{\textheight}{|X|X|X|X|X|X|X|X|X|X|X|X|}
      1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\
        \hline
        1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12
  \end{tabularx}%
\end{adjustbox}
\hfill
\null

\end{document}