jmc

Both $1$ and $11$ divide $11,$ so $\boxed{11}=2$, and since $1,$ $2,$ $4,$ $5,$ $10,$ and $20$ divide $20,$ then $\boxed{20}=6$. The inner expression, $\boxed{11}\times \boxed{20}=2\times 6=12$. Finally, $\boxed{12}=6$ because $1,$ $2,$ $3,$ $4,$ $6,$ and $12$ divide $12.$

Therefore, $6$ is our answer. Please note that we have not boxed the correct answer as we normally do, as that would be especially confusing for this problem.