cancel vs nullify

cancel is a noun but nullify is not a noun.

Word	Noun	Adjective	Verb	Adverb
cancel	Yes	No	Yes	No
nullify	No	No	Yes	No

As verbs, nullify is a hyponym of cancel; that is, nullify is a word with a more specific, narrower meaning than cancel:

cancel (noun)	nullify (noun)
a notation cancelling a previous sharp or flat

cancel (verb)	nullify (verb)
make invalid for use	make ineffective by counterbalancing the effect of
remove or make invisible	show to be invalid
declare null and void; make ineffective	declare invalid
postpone indefinitely or annul something that was scheduled
make up for