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211222221220000 = 2554103911016371
BaseRepresentation
bin110000000001101100000001…
…011101101110100010100000
31000200212122110202201100122101
4300001230001131232202200
5210141131102113020000
62025122052053020144
762330205355641124
oct6001540135564240
91020778422640571
10211222221220000
1161335928365991
121b834346624654
1390b222962ab93
143a232d2565584
151964594947e6a
hexc01b0176e8a0

211222221220000 has 120 divisors (see below), whose sum is σ = 519688867354272. Its totient is φ = 84480674400000.

The previous prime is 211222221219983. The next prime is 211222221220013. The reversal of 211222221220000 is 22122222112.

It is a super-2 number, since 2×2112222212200002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211222221220000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207311815 + ... + 208328185.

Almost surely, 2211222221220000 is an apocalyptic number.

211222221220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259844433677136).

211222221220000 is an abundant number, since it is smaller than the sum of its proper divisors (308466646134272).

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

211222221220000 is a wasteful number, since it uses less digits than its factorization.

211222221220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026792 (or 1026769 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 211222221220000 its reverse (22122222112), we get a palindrome (211244343442112).

The spelling of 211222221220000 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 10391 20000 20782 41564 51955 83128 103910 166256 207820 259775 332512 415640 519550 831280 1016371 1039100 1298875 1662560 2032742 2078200 2597750 4065484 4156400 5081855 5195500 6494375 8130968 8312800 10163710 10391000 12988750 16261936 20327420 20782000 25409275 25977500 32523872 40654840 41564000 50818550 51955000 81309680 101637100 103910000 127046375 162619360 203274200 207820000 254092750 406548400 508185500 635231875 813096800 1016371000 1270463750 2032742000 2540927500 4065484000 5081855000 10163710000 10561111061 20327420000 21122222122 42244444244 52805555305 84488888488 105611110610 168977776976 211222221220 264027776525 337955553952 422444442440 528055553050 844888884880 1056111106100 1320138882625 1689777769760 2112222212200 2640277765250 4224444424400 5280555530500 6600694413125 8448888848800 10561111061000 13201388826250 21122222122000 26402777652500 42244444244000 52805555305000 105611110610000 211222221220000