Continuity mistake: Millie's beads have a mind of their own. They do not stay in place even when she is standing still. Besides the funny scene during the title credits (when it is deliberate), and when Miss Dorothy registers, they also move during a scene when Millie displays her thoughts on Miss Dorothy's beads when the two of them go into the elevator for the first time.
Continuity mistake: The elevator that Millie and Miss Dorothy use changes from an elevator to a small room with the walls of the building missing and the door as well.