undecuplicate, dodecuplicate, tridecuplicate...
quintuplicate sextuplicate septuplicate octuplicate nonuplicate decuplicate
Apparently most Latin prefixes give up at some point, because neither "nonuplicate" nor "decuplicate" appear in major dictionaries. Another version of 10, "decemplicate", is listed in some generated word lists as well. The next two would likely be "undecuplicate" and "duodecuplicate" (11 and 12 copies). (for further Latin-based prefixes, see the related link)
quintuplicate sextuplicate septuplicate octuplicate nonuplicate decuplicate