That's shutter time lag. Some digital cameras in early days had long shutter time lag or took long time until it becomes ready for shooting after being powered on. It's same with the time from one frame to another. It is improved to the extent not to bother very much, but the attention should be paid to this point when selecting a digital camera. And, there are models of which lens part rotates.
Some models can change the direction of the lens to the main body in which the LCD monitor is set.
This is particular with the digital camera and is very convenient. The monitor can be used like a waist-level finder when shooting, or when copying a page of a book, the picture area can be observed sideward. And some models can swivel 180 degree and allows to take a picture of oneself. It's a blessed device that it enables to confirm if oneself is located inside the frame properly when taking oneself. Specifications are subject to change without any notice or obligation on the part of the manufacturer.