Assuming the dice are perfectly balanced then the entropy (randomness) should be 100%. I think what you are meaning to ask is if the sample size is large enough, which would be 10^48 different combinations. I don't know if 48 zeros is enough, but it sure is a lot. Also, the method you use to assign letters to each dice roll further increases complexity.
Discussion
I plan on breaking the number up into twelve 4 digit numbers.
0000 = abandon
2047 = zoo
I forgot I need to calulate the checksum.