Make pudding: Place bulgur, garbanzo beans, white beans, and raisins in 4 separate bowls and add water to cover. Let stand overnight.

The next day, combine garbanzo beans and white beans in a saucepan with water to cover. Bring to a boil; reduce heat to low and simmer, covered, until beans are tender, 1 to 1 1/2 hours. Drain and set aside.

Drain bulgur and transfer to a large saucepan. Add 15 cups water (3 quarts plus 3 cups) and bring to a boil. Reduce heat to low and simmer until tender, about 15 minutes, skimming and discarding any foam that appears.

When bulgur has thickened, stir in sugar and bring mixture to a boil. Add cooked beans to bulgur mixture. Stir in drained raisins, apricots, orange peel, and cloves. Reduce heat and simmer until pudding thickens and fruit is tender, about 15 minutes.

Pour pudding into individual serving bowls. Garnish with sesame seeds, walnuts, pistachios, currants, and cinnamon. Allow pudding to cool, then serve.