03/26/2014 at 11:15 AM EDT
It's the magazine cover everyone is talking about
, but while visiting Late Night with Seth Meyers
on Tuesday, Kim Kardashian
said she and Kanye West
photo shoot wasn't a guaranteed frontrunner.
"I knew it was happening of course," Kardashian, 33, says, "but I didn't know it would be the cover. I'm just so honored."
Kardashian says the photo shoot was so top secret she didn't even tell her sisters. "They were a little suspicious," she says. "My mom knew because we used part of her house, but I told them it was something for Kanye. I don't keep the best secrets."
As for daughter North, 9 months, the close-up in the family photo on the couch
had a little complication. "North peed on Kanye in that shot," reveals Kardashian. "He was trying to tell me. I had to get up and clean him off."
Despite mixed reviews, Kardashian says they're just proud to be trailblazers. "Kanye's the first rapper, I'm the first reality star, we're the first interracial couple," she says.
Another thing the Keeping Up with the Kardashians
star loved: the designer gowns she tried on, including the strapless Lanvin she dons on the cover. "I felt like the real-life Carrie Bradshaw."
The cover spread was a long time in the making for Kardashian, whose sister Kendall Jenner generated cover buzz
As recently as a month ago, two industry insiders dished doubts to PEOPLE that the new mom would make the cover any time soon.
When Kardashian finally did land the coveted cover, it hit with mixed reactions.
"Well ... I guess I'm canceling my Vogue
subscription. Who is with me???" Sarah Michelle Gellar Tweeted
Around the same time, Seth Rogen and James Franco
mocked the cover by placing their faces
onto West and Kardashian's bodies, which was reminiscent of the "Bound 2" music video they hilariously parodied