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12202212101120 = 21055694188479
BaseRepresentation
bin1011000110010000110010…
…0001001000110000000000
31121012112001010211011112222
42301210030201020300000
53044410112244213440
641541341401110212
72366403122345636
oct261441441106000
947175033734488
1012202212101120
113984a24690348
121450a54188368
136a68820b9422
143028397ab356
1516261a6a22b5
hexb190c848c00

12202212101120 has 88 divisors (see below), whose sum is σ = 29322459475200. Its totient is φ = 4872305672192.

The previous prime is 12202212101087. The next prime is 12202212101129. The reversal of 12202212101120 is 2110121220221.

It is not an unprimeable number, because it can be changed into a prime (12202212101129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 819041 + ... + 5007519.

Almost surely, 212202212101120 is an apocalyptic number.

12202212101120 is a gapful number since it is divisible by the number (10) 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 12202212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661229737600).

12202212101120 is an abundant number, since it is smaller than the sum of its proper divisors (17120247374080).

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

12202212101120 is an equidigital number, since it uses as much as digits as its factorization.

12202212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189073 (or 4189055 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12202212101120 its reverse (2110121220221), we get a palindrome (14312333321341).

The spelling of 12202212101120 in words is "twelve trillion, two hundred two billion, two hundred twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 569 640 1024 1138 1280 2276 2560 2845 4552 5120 5690 9104 11380 18208 22760 36416 45520 72832 91040 145664 182080 291328 364160 582656 728320 1456640 2913280 4188479 8376958 16753916 20942395 33507832 41884790 67015664 83769580 134031328 167539160 268062656 335078320 536125312 670156640 1072250624 1340313280 2144501248 2383244551 2680626560 4289002496 4766489102 5361253120 9532978204 10722506240 11916222755 19065956408 21445012480 23832445510 38131912816 47664891020 76263825632 95329782040 152527651264 190659564080 305055302528 381319128160 610110605056 762638256320 1220221210112 1525276512640 2440442420224 3050553025280 6101106050560 12202212101120