(CNN) — Hillary Clinton poked fun at herself on an unannounced visit to "The Colbert Report" on Tuesday night.
The former secretary of state, who has been on a two-month tour to promote her book "Hard Choices," joked with Stephen Colbert in a scripted segment about the amount of name-dropping in her book and her regular use of diplomatic language.
"Madame, it is not just your name-dropping that I call into question, I question your title," Colbert said. "There aren't any real hard choices in here."
The comedian then posed this question to Clinton: "Which would you rather fight: one horse-sized duck or a hundred duck-sized horses?"
Clinton used the question to joke about her frequent use of diplomatic phrases.
"I admit, that is a valid question. Here is what I would do," Clinton said.
"First, I would try to find common ground between ducks and horses. For instance, they both grew up on Old McDonald's Farm," Clinton said to laughs. "Then I'd establish a timetable to achieve meaningful horse-duck dialogue."
She then added, "And Stephen, I am convinced, with patience and a strong commitment from our allies the pigs and the geese, we would have peace, peace here; peace, peace, there; here a peace; there a peace; everywhere a peace."
"E-I-E-I-O you're good," Colbert proclaimed.
The duo also joked about Clinton's new book, "Hard Choices," and the prolific name dropping the former secretary of state does in the retelling of her four years as secretary of state.
"This book is 656 pages of shameless name-dropping," Colbert said, before sparring with Clinton about what celebrities the two were friends with.
When Colbert joked about going campaigning with Oprah, Clinton referred to the famed TV host as "O" -- the name "all her real friends" call her.
As the back-and-forth mounted, Colbert said, "I will have you know, Madam, I once did an entire show with President Bill Clinton."
Throwing her arms in the air, Clinton retorted, "I hate to break this to you, Stephen, but I've met him, too."