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12102211221000 = 233534199627853
BaseRepresentation
bin1011000000011100010000…
…0000000011011000001000
31120211221220220112010000020
42300013010000003120020
53041240312033033000
641423402403140440
72356233035033325
oct260070400033010
946757826463006
1012102211221000
113946578803a7a
1214355a6074720
1369a30635c204
142dba7059bb4c
1515ec16341ba0
hexb01c4003608

12102211221000 has 128 divisors (see below), whose sum is σ = 37849019644800. Its totient is φ = 3219553708800.

The previous prime is 12102211220963. The next prime is 12102211221007. The reversal of 12102211221000 is 12211220121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12102211221007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3556927 + ... + 6070926.

It is an arithmetic number, because the mean of its divisors is an integer number (295695465975).

Almost surely, 212102211221000 is an apocalyptic number.

12102211221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102211221000 is an abundant number, since it is smaller than the sum of its proper divisors (25746808423800).

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

12102211221000 is a wasteful number, since it uses less digits than its factorization.

12102211221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9628296 (or 9628282 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102211221000 its reverse (12211220121), we get a palindrome (12114422441121).

The spelling of 12102211221000 in words is "twelve trillion, one hundred two billion, two hundred eleven million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 419 500 600 750 838 1000 1257 1500 1676 2095 2514 3000 3352 4190 5028 6285 8380 10056 10475 12570 16760 20950 25140 31425 41900 50280 52375 62850 83800 104750 125700 157125 209500 251400 314250 419000 628500 1257000 9627853 19255706 28883559 38511412 48139265 57767118 77022824 96278530 115534236 144417795 192557060 231068472 240696325 288835590 385114120 481392650 577671180 722088975 962785300 1155342360 1203481625 1444177950 1925570600 2406963250 2888355900 3610444875 4034070407 4813926500 5776711800 7220889750 8068140814 9627853000 12102211221 14441779500 16136281628 20170352035 24204422442 28883559000 32272563256 40340704070 48408844884 60511056105 80681408140 96817689768 100851760175 121022112210 161362816280 201703520350 242044224420 302555280525 403407040700 484088448840 504258800875 605110561050 806814081400 1008517601750 1210221122100 1512776402625 2017035203500 2420442244200 3025552805250 4034070407000 6051105610500 12102211221000