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200001222111200 = 25526121411914239
BaseRepresentation
bin101101011110011001101001…
…110011000110111111100000
3222020010221010001020201222012
4231132121221303012333200
5202203310000330024300
61545211143143332052
760061416505144106
oct5536315163067740
9866127101221865
10200001222111200
11587aa050951604
121a5216b0751028
13877a05a5256c3
14375617a06bc76
15181c7564e6435
hexb5e669cc6fe0

200001222111200 has 144 divisors (see below), whose sum is σ = 496489177658880. Its totient is φ = 78652210944000.

The previous prime is 200001222111181. The next prime is 200001222111211. The reversal of 200001222111200 is 2111222100002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103523681 + ... + 105437919.

It is an arithmetic number, because the mean of its divisors is an integer number (3447841511520).

Almost surely, 2200001222111200 is an apocalyptic number.

200001222111200 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 200001222111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248244588829440).

200001222111200 is an abundant number, since it is smaller than the sum of its proper divisors (296487955547680).

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

200001222111200 is a wasteful number, since it uses less digits than its factorization.

200001222111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916461 (or 1916448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200001222111200 its reverse (2111222100002), we get a palindrome (202112444211202).

The spelling of 200001222111200 in words is "two hundred trillion, one billion, two hundred twenty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 160 200 244 305 400 488 610 800 976 1220 1525 1952 2141 2440 3050 4282 4880 6100 8564 9760 10705 12200 17128 21410 24400 34256 42820 48800 53525 68512 85640 107050 130601 171280 214100 261202 342560 428200 522404 653005 856400 1044808 1306010 1712800 1914239 2089616 2612020 3265025 3828478 4179232 5224040 6530050 7656956 9571195 10448080 13060100 15313912 19142390 20896160 26120200 30627824 38284780 47855975 52240400 61255648 76569560 95711950 104480800 116768579 153139120 191423900 233537158 306278240 382847800 467074316 583842895 765695600 934148632 1167685790 1531391200 1868297264 2335371580 2919214475 3736594528 4098385699 4670743160 5838428950 8196771398 9341486320 11676857900 16393542796 18682972640 20491928495 23353715800 32787085592 40983856990 46707431600 65574171184 81967713980 93414863200 102459642475 131148342368 163935427960 204919284950 250001527639 327870855920 409838569900 500003055278 655741711840 819677139800 1000006110556 1250007638195 1639354279600 2000012221112 2500015276390 3278708559200 4000024442224 5000030552780 6250038190975 8000048884448 10000061105560 12500076381950 20000122211120 25000152763900 40000244422240 50000305527800 100000611055600 200001222111200