Search a number
-
+
122228021917488 = 243374359131207079
BaseRepresentation
bin11011110010101001101101…
…110100111111011100110000
3121000202212220000002110200210
4123302221231310333130300
5112010040442102324423
61111542440022544120
734513453220046534
oct3362515564773460
9530685800073623
10122228021917488
1135a44681992593
1211860739298040
13532808c603076
142227c21457bc4
15e1e670becb93
hex6f2a6dd3f730

122228021917488 has 320 divisors, whose sum is σ = 340033179340800. Its totient is φ = 37772617559040.

The previous prime is 122228021917471. The next prime is 122228021917537. The reversal of 122228021917488 is 884719120822221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590144733 + ... + 590351811.

It is an arithmetic number, because the mean of its divisors is an integer number (1062603685440).

Almost surely, 2122228021917488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122228021917488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170016589670400).

122228021917488 is an abundant number, since it is smaller than the sum of its proper divisors (217805157423312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122228021917488 is a wasteful number, since it uses less digits than its factorization.

122228021917488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207360 (or 207354 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 122228021917488 in words is "one hundred twenty-two trillion, two hundred twenty-eight billion, twenty-one million, nine hundred seventeen thousand, four hundred eighty-eight".