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12200210221220 = 22572928191065973
BaseRepresentation
bin1011000110001001010100…
…1100100100100010100100
31121012022212121221010120222
42301202111030210202210
53044342012304034340
641540411005543512
72366302403554250
oct261422514444244
947168777833528
1012200210221220
11398409767a34a
121450595874b98
136a66234344c8
143026c9983260
1516254ea6c8b5
hexb18953248a4

12200210221220 has 96 divisors (see below), whose sum is σ = 30300950534400. Its totient is φ = 4037253825024.

The previous prime is 12200210221201. The next prime is 12200210221229. The reversal of 12200210221220 is 2212201200221.

It is a happy number.

It is a super-2 number, since 2×122002102212202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12200210221229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10912154 + ... + 11978126.

It is an arithmetic number, because the mean of its divisors is an integer number (315634901400).

Almost surely, 212200210221220 is an apocalyptic number.

12200210221220 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 12200210221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15150475267200).

12200210221220 is an abundant number, since it is smaller than the sum of its proper divisors (18100740313180).

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

12200210221220 is a wasteful number, since it uses less digits than its factorization.

12200210221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068837 (or 1068835 counting only the distinct ones).

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

Adding to 12200210221220 its reverse (2212201200221), we get a palindrome (14412411421441).

The spelling of 12200210221220 in words is "twelve trillion, two hundred billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 2819 4060 5638 11276 14095 19733 28190 39466 56380 78932 81751 98665 163502 197330 327004 394660 408755 572257 817510 1065973 1144514 1635020 2131946 2289028 2861285 4263892 5329865 5722570 7461811 10659730 11445140 14923622 21319460 29847244 30913217 37309055 61826434 74618110 123652868 149236220 154566085 216392519 309132170 432785038 618264340 865570076 1081962595 2163925190 3004977887 4327850380 6009955774 12019911548 15024889435 21034845209 30049778870 42069690418 60099557740 84139380836 87144358723 105174226045 174288717446 210348452090 348577434892 420696904180 435721793615 610010511061 871443587230 1220021022122 1742887174460 2440042044244 3050052555305 6100105110610 12200210221220