In my web-to-case form, I want to specify a record type.  See html line below.  However, when I submit the form, the case record type is still set to the default record of the default case owner.  Do I have the correct syntax for the html line?  I checked the Support Settings and it is not set to override the type with the owner's default.

<input type=hidden name="RecordTypeId" value="01280000000G4N7AAK">