The most common and most likely answer to this crossword clue is the 12 letter word INCORRIGIBLE
I've seen this crossword clue in Independent
I
N
C
O
R
R
I
G
I
B
L
E
More clues leading to the result INCORRIGIBLE
Buddy explains!

The straight part
We know that "not able to be changed" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case not able to be changed = incorrigible.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does INCORRIGIBLE mean?
INCORRIGIBLE noun- An incorrigibly bad individual.
- Defective and impossible to materially correct or set aright.
- Incurably depraved; not reformable.
- Impervious to correction by punishment or pain.
- Unmanageable.
- Determined, unalterable, hence impossible to improve upon.
- Incurable.