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12011122200200 = 2352672273948689
BaseRepresentation
bin1010111011001000111010…
…1011000000111010001000
31120112020210202110102012012
42232302032223000322020
53033242234240401300
641313500001235052
72346526543112114
oct256621653007210
946466722412165
1012011122200200
1139109853974a2
12141ba04632a88
1369184aa31736
142d74acbbc744
1515c68459c435
hexaec8eac0e88

12011122200200 has 96 divisors (see below), whose sum is σ = 28467527738400. Its totient is φ = 4711890416640.

The previous prime is 12011122200191. The next prime is 12011122200239. The reversal of 12011122200200 is 200222111021.

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, 1067456 + ... + 5016144.

It is an arithmetic number, because the mean of its divisors is an integer number (296536747275).

Almost surely, 212011122200200 is an apocalyptic number.

12011122200200 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 12011122200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14233763869200).

12011122200200 is an abundant number, since it is smaller than the sum of its proper divisors (16456405538200).

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

12011122200200 is a wasteful number, since it uses less digits than its factorization.

12011122200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948999 (or 3948990 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12011122200200 its reverse (200222111021), we get a palindrome (12211344311221).

The spelling of 12011122200200 in words is "twelve trillion, eleven billion, one hundred twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 227 268 335 454 536 670 908 1135 1340 1675 1816 2270 2680 3350 4540 5675 6700 9080 11350 13400 15209 22700 30418 45400 60836 76045 121672 152090 304180 380225 608360 760450 1520900 3041800 3948689 7897378 15794756 19743445 31589512 39486890 78973780 98717225 157947560 197434450 264562163 394868900 529124326 789737800 896352403 1058248652 1322810815 1792704806 2116497304 2645621630 3585409612 4481762015 5291243260 6614054075 7170819224 8963524030 10582486520 13228108150 17927048060 22408810075 26456216300 35854096120 44817620150 52912432600 60055611001 89635240300 120111222002 179270480600 240222444004 300278055005 480444888008 600556110010 1201112220020 1501390275025 2402224440040 3002780550050 6005561100100 12011122200200