Infinity is a distinctive girls' name in United States, ranking #7592 in 2012 with 16 recorded births. The name reached its all-time peak in 1997 with 71 births ranking #2008. Since 1996, the popularity has decreased by 65.2%. In 2012, approximately 1 in every 110,046 girls born was named Infinity. FALLING Recent data shows the name is currently falling.