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11201120001200 = 2452233541222151
BaseRepresentation
bin1010001011111111011011…
…0001110101110010110000
31110122211001022102022121202
42202333312301311302300
52432004343210014300
635453420135110332
72234153124036053
oct242776661656260
943584038368552
1011201120001200
113629406256638
12130aa285123a8
136333517a7a1c
142aa1cc2c0a9a
15146578115ad5
hexa2ff6c75cb0

11201120001200 has 120 divisors (see below), whose sum is σ = 27076265195616. Its totient is φ = 4452952320000.

The previous prime is 11201120001173. The next prime is 11201120001329. The reversal of 11201120001200 is 210002110211.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50310125 + ... + 50532275.

Almost surely, 211201120001200 is an apocalyptic number.

11201120001200 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 11201120001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13538132597808).

11201120001200 is an abundant number, since it is smaller than the sum of its proper divisors (15875145194416).

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

11201120001200 is a wasteful number, since it uses less digits than its factorization.

11201120001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222943 (or 222932 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11201120001200 its reverse (210002110211), we get a palindrome (11411122111411).

The spelling of 11201120001200 in words is "eleven trillion, two hundred one billion, one hundred twenty million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 233 400 466 541 932 1082 1165 1864 2164 2330 2705 3728 4328 4660 5410 5825 8656 9320 10820 11650 13525 18640 21640 23300 27050 43280 46600 54100 93200 108200 126053 216400 222151 252106 444302 504212 630265 888604 1008424 1110755 1260530 1777208 2016848 2221510 2521060 3151325 3554416 4443020 5042120 5553775 6302650 8886040 10084240 11107550 12605300 17772080 22215100 25210600 44430200 50421200 51761183 88860400 103522366 120183691 207044732 240367382 258805915 414089464 480734764 517611830 600918455 828178928 961469528 1035223660 1201836910 1294029575 1922939056 2070447320 2403673820 2588059150 3004592275 4140894640 4807347640 5176118300 6009184550 9614695280 10352236600 12018369100 20704473200 24036738200 28002800003 48073476400 56005600006 112011200012 140014000015 224022400024 280028000030 448044800048 560056000060 700070000075 1120112000120 1400140000150 2240224000240 2800280000300 5600560000600 11201120001200