"Your account cannot be created at this time" error when creating a new Apple Account

Since my current Apple account is associated with my company, I wanted to create a separate one for myself. But when it asks for the phone number verification code, it doesn't accept the code that I received. It isn't the wrong code.

At first the rejection message was "your account cannot be created at this time." After that it just says, "type the numbers you see or hear." Typing instead of pasting made no difference.

[Re-Titled by Moderator]

Original Title: "Your account cannot be created at this time"