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21222021122000 = 2453107223444701
BaseRepresentation
bin1001101001101001000110…
…00001111100011111010000
32210010210202010210112001022
410310310203001330133100
510240200144401401000
6113045132323455012
74320145316124536
oct464644301743720
983123663715038
1021222021122000
116842232737006
122468b77b27468
13bac2c6c0773a
14535219264156
1526c077e73585
hex134d2307c7d0

21222021122000 has 160 divisors (see below), whose sum is σ = 52026804071424. Its totient is φ = 8371744320000.

The previous prime is 21222021121883. The next prime is 21222021122041. The reversal of 21222021122000 is 22112022212.

It is a happy number.

It is a super-2 number, since 2×212220211220002 (a number of 27 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 21222021122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47499650 + ... + 47944350.

Almost surely, 221222021122000 is an apocalyptic number.

21222021122000 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 21222021122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26013402035712).

21222021122000 is an abundant number, since it is smaller than the sum of its proper divisors (30804782949424).

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

21222021122000 is a wasteful number, since it uses less digits than its factorization.

21222021122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445054 (or 445038 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21222021122000 its reverse (22112022212), we get a palindrome (21244133144212).

The spelling of 21222021122000 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 223 250 400 428 446 500 535 856 892 1000 1070 1115 1712 1784 2000 2140 2230 2675 3568 4280 4460 5350 5575 8560 8920 10700 11150 13375 17840 21400 22300 23861 26750 27875 42800 44600 47722 53500 55750 89200 95444 107000 111500 119305 190888 214000 223000 238610 381776 444701 446000 477220 596525 889402 954440 1193050 1778804 1908880 2223505 2386100 2982625 3557608 4447010 4772200 5965250 7115216 8894020 9544400 11117525 11930500 17788040 22235050 23861000 35576080 44470100 47583007 47722000 55587625 88940200 95166014 99168323 111175250 177880400 190332028 198336646 222350500 237915035 380664056 396673292 444701000 475830070 495841615 761328112 793346584 889402000 951660140 991683230 1189575175 1586693168 1903320280 1983366460 2379150350 2479208075 3806640560 3966732920 4758300700 4958416150 5947875875 7933465840 9516601400 9916832300 10611010561 11895751750 12396040375 19033202800 19833664600 21222021122 23791503500 24792080750 39667329200 42444042244 47583007000 49584161500 53055052805 84888084488 95166014000 99168323000 106110105610 169776168976 198336646000 212220211220 265275264025 424440422440 530550528050 848880844880 1061101056100 1326376320125 2122202112200 2652752640250 4244404224400 5305505280500 10611010561000 21222021122000