# Too many ceilings

Algebra Level 3

$\large \left (\lceil(\lceil(\{\lceil x \rceil\}+\lceil \{x\} \rceil +\{x\})\rceil + \{x\})\rceil \right)!$

Find the value of the expression above, where $$x$$ is an irrational real number.

If you believe there are multiple values, submit your answer as 12345.

Notations:

×