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Cognomen Monico (Monico , Монико ) , across the world, is a common surname. The family name Monico is habitual in Latin America and the Caribbean, particularly El Salvador, where it is quite a common surname, Mexico, where it is quite a rare surname, and Paraguay. Measured by absolute frequency, the name is most common in Mexico, the United States, and El Salvador. Also, Monico is the forename as well as the last name.