The two-minute, 20-second music video has been downloaded more than 1.2 million times from youtube.com and can be viewed at other Web sites as well.

The video tells the tale of two guys — “SNL” actors Chris Parnell and Andy Samberg — determined to chow down en route to a matinee showing of “The Chronicles of Narnia.” First they hit a bakery, where Samberg raps, “Two, no six, 12, baker’s dozen/I told you that I’m crazy for these cupcakes, cousin.” To avoid pricey refreshments at the theater, they make a pit stop at a deli, where they drop a $10 bill on the counter and declare, “It’s all about the Hamiltons, baby.”

The humor comes from contradictions between the pair’s innocent appearance and facetious rhymes and the track’s ominous gangsta beat. The comedy via hip-hop formula is hardly new for Parnell, who has derided Britney Spears with rap songs on SNL’s Weekend Update. And Samberg and his writing partners, Akiva Schaffer and Jorma Taccone, who co-wrote “Lazy Sunday,” have been airing similar satires on thelonelyisland.com since 2000.

But “Lazy Sunday” has exploded into pop consciousness through the Internet. On Tuesday, The New York Times labeled Parnell and Samberg “unexpected hip-hop icons.”

Local rap artists says that’s hardly the case.

“It’s an odd day when rap is so big that it promotes a movie with no hip-hop connection,” said Lyrical, a Cambridge-based MC. “No people of color are in the movie and the video is performed by people who seem to be making fun of hip-hop.”