From the Ovid search results or My Projects project page, you can export the selected items. Choose the formats for Zotero, EndNote, or RIS, then import the exported records into Zotero. Don't try to use the Save to Zotero button for this many items--you will likely get locked out for automated downloading.
See:
http://resourcecenter.ovid.com/site/help/documentation/ospa/en/Content/export.htm
And:
https://www.zotero.org/support/getting_stuff_into_your_library#importing_from_other_tools