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There are 5 twelve-letter words containing RITHM

ARITHMETICAL	• arithmetical adj. (Mathematics) Of or pertaining to arithmetic, particularly the functions of arithmetic (noun; stress… • ARITHMETICAL adj. relating to arithmetic.
ARITHMOMANIA	• arithmomania n. An obsessive-compulsive disorder in which the subject feels the need to count things. • ARITHMOMANIA n. an obsession with numbers, esp. compulsion to count things.
ARITHMOMETER	• arithmometer n. (Dated) A calculating machine. • ARITHMOMETER n. (obsolete) an early adding machine.
COLOGARITHMS	• cologarithms n. Plural of cologarithm. • COLOGARITHM n. the logarithm of the reciprocal of a number.
CRYPTARITHMS	• cryptarithms n. Plural of cryptarithm. • CRYPTARITHM n. an arithmetic problem in which letters have been substituted for numbers and which is solved by finding all possible pairings of digits with letters that produce a numerically correct answer.

Scrabble words — in black are valid world wide — in RED are not valid in North America — in GREEN are valid only in North America.
Definitions are short excerpt from the WikWik.org and 1Word.ws.

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English Wiktionary: 27 words
Scrabble in French: 5 words
Scrabble in Spanish: no word
Scrabble in Italian: no word
Scrabble in German: no word
Scrabble in Romanian: no word

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