Use the savings plan formula to answer the following question.

At age $43,$ you start saving for retirement. If your investment plan pays an APR of $4\%$ and you want to have $$1\mathrm{.}2$ million when you retire in $22$ years, how much should you deposit monthly?

You should invest $ each month.

$($Do not round until the final answer. Then round to two decimal places as needed.$)$