DJ Davon is making a playlist for an internet radio show; he is trying to decide what 1212 songs to play and in what order they should be played. If he has his choices narrowed down to 1515 rock, 2020 blues, and 1515 disco songs, and he wants to play an equal number of rock, blues, and disco songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.