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221222120021220 = 223512763146009151
BaseRepresentation
bin110010010011001101001001…
…111000010101110011100100
31002000021121221220112011211210
4302103031021320111303210
5212444000400211134340
62102300012225031420
764411525235201313
oct6223151170256344
91060247856464753
10221222120021220
116454085755984a
122098a3b4485570
139659205813066
143c8b2ca07027a
151a89765a4b180
hexc93349e15ce4

221222120021220 has 96 divisors (see below), whose sum is σ = 625288668512256. Its totient is φ = 58435301232000.

The previous prime is 221222120021207. The next prime is 221222120021249. The reversal of 221222120021220 is 22120021222122.

It is a super-3 number, since 3×2212221200212203 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18196356 + ... + 27812795.

It is an arithmetic number, because the mean of its divisors is an integer number (6513423630336).

Almost surely, 2221222120021220 is an apocalyptic number.

221222120021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222120021220 is an abundant number, since it is smaller than the sum of its proper divisors (404066548491036).

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

221222120021220 is a wasteful number, since it uses less digits than its factorization.

221222120021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46009921 (or 46009919 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221222120021220 its reverse (22120021222122), we get a palindrome (243342141243342).

The spelling of 221222120021220 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 631 635 762 1262 1270 1524 1893 1905 2524 2540 3155 3786 3810 6310 7572 7620 9465 12620 18930 37860 80137 160274 240411 320548 400685 480822 801370 961644 1202055 1602740 2404110 4808220 46009151 92018302 138027453 184036604 230045755 276054906 460091510 552109812 690137265 920183020 1380274530 2760549060 5843162177 11686324354 17529486531 23372648708 29031774281 29215810885 35058973062 58063548562 58431621770 70117946124 87095322843 87647432655 116127097124 116863243540 145158871405 174190645686 175294865310 290317742810 348381291372 350589730620 435476614215 580635485620 870953228430 1741906456860 3687035333687 7374070667374 11061106001061 14748141334748 18435176668435 22122212002122 36870353336870 44244424004244 55305530005305 73740706673740 110611060010610 221222120021220