HKIMO 2020 Grade 6 National Final (Heat) Set 01 Question 12

The nine-digit number $\overline{20202 A 12 B}$ is divisible by 44. Find the maximum of $A\times B$.

Source glossary (English–Vietnamese): 9-digit number: số có 9 chữ số; Divisible by: chia hết cho; Maximum value: giá trị lớn nhất.