The Collaborative International Dictionary
Unaccountableness
Unaccountable \Un`ac*count"a*ble\, a.
Not accountable or responsible; free from control.
--South.Not to be accounted for; inexplicable; not consonant with reason or rule; strange; mysterious. [1913 Webster] -- Un`ac*count"a*ble*ness], n. -- Un`ac*count"a*bly, adv.
Wiktionary
unaccountableness
n. The state or condition of being unaccountable.