A Peculiar Number!

Number Theory Level 2

The digits 1, 2, 3, 4, and 5 are each used once to compose a five-digit number $\overline{ABCDE}$ , such that the three-digit number $\overline{ABC}$ is divisible by 4, $\overline{BCD}$ is divisible by 5 and $\overline{CDE}$ is divisible by 3.

Submit the value of the five-digit number $\overline{ABCDE}$ as your answer.