I've argued with numerous amounts of friends and people over the internet and I can't believe this match up is even being taken seriously. I may be bias against Bat-Man,as I hate his character, but come on! Hulk is The Hulk!
The Hulk goes against armies and characters that are far more powerful than Bat-Man fairly regularly! The Hulk's strength is potentially limitless, his skin is extremely durable, and his healing factor rivals that of Wolverine. Sure, Bat-Man has some nifty gadgets, but the batarang isn't going to even phase Hulk! A few diehard Bat fans have said things like "Oh,well..Bat-Man could probably force feed Hulk some medicine that'd make him calm down or something." I'll agree that the only way Bat-Man would win is if by some miracle Hulk calmed down. Which isn't a walk in the park. The force feed him medicine theory is stupid at it's very best. You try putting something in Hulk's mouth he doesn't want in there. You see what happens!
Even given preptime,I seriously doubt that Bat-Man could be one of Marvel's biggest tanks. Hulk could smash, rip apart, throw, beat, chew, kick, stomp, or shout Bat-Man apart. What gadget can a giant green skinned gamma radiation monster of death, destruction, and anger? I'm going to go ahead and apologize for any spelling or grammar errors.