Kim Kardashian Calls Vogue Cover an Honor

03/25/2014 at 08:15 PM 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's Vogue 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 first.

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 in November.

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