Counter
/ˈkaʊntə/
noun
One who counts
“He's only 16 months, but is already a good counter – he can count to 100.”
A reckoner; someone who collects data by counting; an enumerator.
An object (now especially a small disc) used in counting or keeping count, or as a marker in games, etc.
“He rolled a six on the dice, so moved his counter forward six spaces.”