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ClearAll[NextHighestIntFromDigits]
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NextHighestIntFromDigits[n_Integer?NonNegative]:=Module[{digs},
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digs=IntegerDigits[n];
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digs=FromDigits/@Permutations[digs];
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digs=Select[digs,GreaterEqualThan[n]];
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If[Length[digs]==1,First[digs],RankedMin[digs,2]]
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]
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NextHighestIntFromDigits/@{0,9,12,21,12453,738440,45072010,95322020}
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