The Cozy Car Company created a new model of car especially for Japan and Vietnam, which they start shipping to both countries at the same time. The company had shipped 222 of that model of car to Japan by the end of the first month, and the cumulative total of cars they've shipped triples each month. The company had shipped 555 of that model of car to Vietnam by the end of the first month, and the cumulative total of cars they've shipped increases by 111111 cars each month. The company's board assembles at the end of each month to review the cumulative total number of cars shipped to each country. What is the first month in which the board will see the cumulative total number of cars shipped to Japan exceeded the cumulative total in Vietnam?