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11222120000112 = 2437577121747563
BaseRepresentation
bin1010001101001101101001…
…1110011110101001110000
31110201211020211121210111020
42203103122132132221300
52432330400210000422
635511212030015440
72235525411060510
oct243233236365160
943654224553436
1011222120000112
1136373021a863a
121312b09347580
1363531a3bc198
142ab221313840
15146da6a6295c
hexa34da79ea70

11222120000112 has 160 divisors (see below), whose sum is σ = 33217364285952. Its totient is φ = 3198065836032.

The previous prime is 11222120000107. The next prime is 11222120000123. The reversal of 11222120000112 is 21100002122211.

It is a junction number, because it is equal to n+sod(n) for n = 11222120000091 and 11222120000100.

It is a congruent number.

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, 235918443 + ... + 235966005.

Almost surely, 211222120000112 is an apocalyptic number.

11222120000112 is a gapful number since it is divisible by the number (12) 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 11222120000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608682142976).

11222120000112 is an abundant number, since it is smaller than the sum of its proper divisors (21995244285840).

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

11222120000112 is a wasteful number, since it uses less digits than its factorization.

11222120000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49375 (or 49369 counting only the distinct ones).

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

Adding to 11222120000112 its reverse (21100002122211), we get a palindrome (32322122122323).

The spelling of 11222120000112 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 577 1154 1217 1731 2308 2434 3462 3651 4039 4616 4868 6924 7302 8078 8519 9232 9736 12117 13848 14604 16156 17038 19472 24234 25557 27696 29208 32312 34076 47563 48468 51114 58416 64624 68152 95126 96936 102228 136304 142689 190252 193872 204456 285378 332941 380504 408912 570756 665882 702209 761008 998823 1141512 1331764 1404418 1997646 2106627 2283024 2663528 2808836 3995292 4213254 4915463 5327056 5617672 7990584 8426508 9830926 11235344 14746389 15981168 16853016 19661852 27443851 29492778 33706032 39323704 54887702 57884171 58985556 78647408 82331553 109775404 115768342 117971112 164663106 173652513 192106957 219550808 231536684 235942224 329326212 347305026 384213914 405189197 439101616 463073368 576320871 658652424 694610052 768427828 810378394 926146736 1152641742 1215567591 1317304848 1389220104 1536855656 1620756788 2305283484 2431135182 2778440208 3073711312 3241513576 4610566968 4862270364 6483027152 9221133936 9724540728 19449081456 33399166667 66798333334 100197500001 133596666668 200395000002 233794166669 267193333336 400790000004 467588333338 534386666672 701382500007 801580000008 935176666676 1402765000014 1603160000016 1870353333352 2805530000028 3740706666704 5611060000056 11222120000112