long dozen vs baker's dozen

long dozen and baker's dozen both are nouns.

Word	Noun	Adjective	Verb	Adverb
long dozen	Yes	No	No	No
baker's dozen	Yes	No	No	No

As nouns, long dozen and baker's dozen are synonyms defined as:

long dozen and baker's dozen: the cardinal number that is the sum of twelve and one

Other synonyms of long dozen include 13, thirteen, XIII.

long dozen (noun)	baker's dozen (noun)
the cardinal number that is the sum of twelve and one	the cardinal number that is the sum of twelve and one