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201222112221200 = 2452731466633471
BaseRepresentation
bin101101110000001010101100…
…100001010001100000010000
3222101110122102222101101120102
4231300022230201101200100
5202333310341212034300
61551544055011431532
760245550344642000
oct5560125441214020
9871418388341512
10201222112221200
115912a900554514
121a69a23a2b55a8
138838218a2ac35
1437992b8b82000
15183e3b01740d5
hexb702ac851810

201222112221200 has 120 divisors (see below), whose sum is σ = 563773906636800. Its totient is φ = 68990438428800.

The previous prime is 201222112221127. The next prime is 201222112221307. The reversal of 201222112221200 is 2122211222102.

It is a super-2 number, since 2×2012221122212002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733179536 + ... + 733453935.

It is an arithmetic number, because the mean of its divisors is an integer number (4698115888640).

Almost surely, 2201222112221200 is an apocalyptic number.

201222112221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222112221200 is an abundant number, since it is smaller than the sum of its proper divisors (362551794415600).

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

201222112221200 is a wasteful number, since it uses less digits than its factorization.

201222112221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466633510 (or 1466633485 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201222112221200 its reverse (2122211222102), we get a palindrome (203344323443302).

The spelling of 201222112221200 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 343 350 392 400 490 560 686 700 784 980 1225 1372 1400 1715 1960 2450 2744 2800 3430 3920 4900 5488 6860 8575 9800 13720 17150 19600 27440 34300 68600 137200 1466633471 2933266942 5866533884 7333167355 10266434297 11733067768 14666334710 20532868594 23466135536 29332669420 36665836775 41065737188 51332171485 58665338840 71865040079 73331673550 82131474376 102664342970 117330677680 143730080158 146663347100 164262948752 205328685940 256660857425 287460160316 293326694200 359325200395 410657371880 503055280553 513321714850 574920320632 586653388400 718650400790 821314743760 1006110561106 1026643429700 1149840641264 1437300801580 1796626001975 2012221122212 2053286859400 2515276402765 2874601603160 3593252003950 4024442244424 4106573718800 5030552805530 5749203206320 7186504007900 8048884488848 10061105611060 12576382013825 14373008015800 20122211222120 25152764027650 28746016031600 40244422444240 50305528055300 100611056110600 201222112221200