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12212022012200 = 2352208948136073
BaseRepresentation
bin1011000110110101010100…
…1110111110100100101000
31121020110100210220021200222
42301231111032332210220
53100040210113342300
641550043033345212
72400201201252533
oct261552516764450
947213323807628
1012212022012200
1139890a907177a
121452931568208
136a77865ac83a
143030ca5aba1a
151629e1a12785
hexb1b553be928

12212022012200 has 96 divisors (see below), whose sum is σ = 28417123356600. Its totient is φ = 4880652226560.

The previous prime is 12212022012199. The next prime is 12212022012247. The reversal of 12212022012200 is 221022021221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6721688834884 + 5490333177316 = 2592622^2 + 2343146^2 .

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 23 ways as a sum of consecutive naturals, for example, 2010868364 + ... + 2010874436.

Almost surely, 212212022012200 is an apocalyptic number.

12212022012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212022012200 is an abundant number, since it is smaller than the sum of its proper divisors (16205101344400).

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

12212022012200 is a wasteful number, since it uses less digits than its factorization.

12212022012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12212022012200 its reverse (221022021221), we get a palindrome (12433044033421).

The spelling of 12212022012200 in words is "twelve trillion, two hundred twelve billion, twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2089 4178 4813 6073 8356 9626 10445 12146 16712 19252 20890 24065 24292 30365 38504 41780 48130 48584 52225 60730 83560 96260 104450 120325 121460 151825 192520 208900 240650 242920 303650 417800 481300 607300 962600 1214600 10054357 12686497 20108714 25372994 29229349 40217428 50271785 50745988 58458698 63432485 80434856 100543570 101491976 116917396 126864970 146146745 201087140 233834792 251358925 253729940 292293490 317162425 402174280 502717850 507459880 584586980 634324850 730733725 1005435700 1169173960 1268649700 1461467450 2010871400 2537299400 2922934900 5845869800 61060110061 122120220122 244240440244 305300550305 488480880488 610601100610 1221202201220 1526502751525 2442404402440 3053005503050 6106011006100 12212022012200