Logistic Growth Model - Code and Plot

I need to plot a differential equation that shows logistic growth. The equation is: P=(K*A*e^r*t)/(1+A*e^r*t)

where K is the carrying capacity, a constant, and K = 1,704,885 and A = 0.0122.

I need the correct code so that I can solve for r, as well as put different t to find the population at varying times.

I also need to plot the solution. Thank you for any help!