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12200002022000 = 2453132292049043
BaseRepresentation
bin1011000110001000100011…
…0010010110101001110000
31121012022100010011111221202
42301202020302112221300
53044341101004201000
641540334211310332
72366264265110402
oct261421062265160
947168303144852
1012200002022000
113983aa00a7181
121450537bab3a8
136a65bc2691c0
143026aa068b72
1516253b643dd5
hexb1888c96a70

12200002022000 has 160 divisors (see below), whose sum is σ = 31907549244480. Its totient is φ = 4484943129600.

The previous prime is 12200002021997. The next prime is 12200002022011. The reversal of 12200002022000 is 22020000221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4929479 + ... + 6978521.

It is an arithmetic number, because the mean of its divisors is an integer number (199422182778).

Almost surely, 212200002022000 is an apocalyptic number.

12200002022000 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 12200002022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953774622240).

12200002022000 is an abundant number, since it is smaller than the sum of its proper divisors (19707547222480).

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

12200002022000 is a wasteful number, since it uses less digits than its factorization.

12200002022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049308 (or 2049292 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12200002022000 its reverse (22020000221), we get a palindrome (12222022022221).

The spelling of 12200002022000 in words is "twelve trillion, two hundred billion, two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 229 250 260 325 400 458 500 520 650 916 1000 1040 1145 1300 1625 1832 2000 2290 2600 2977 3250 3664 4580 5200 5725 5954 6500 9160 11450 11908 13000 14885 18320 22900 23816 26000 28625 29770 45800 47632 57250 59540 74425 91600 114500 119080 148850 229000 238160 297700 372125 458000 595400 744250 1190800 1488500 2049043 2977000 4098086 5954000 8196172 10245215 16392344 20490430 26637559 32784688 40980860 51226075 53275118 81961720 102452150 106550236 133187795 163923440 204904300 213100472 256130375 266375590 409808600 426200944 469230847 512260750 532751180 665938975 819617200 938461694 1024521500 1065502360 1331877950 1876923388 2049043000 2131004720 2346154235 2663755900 3329694875 3753846776 4098086000 4692308470 5327511800 6100001011 6659389750 7507693552 9384616940 10655023600 11730771175 12200002022 13318779500 18769233880 23461542350 24400004044 26637559000 30500005055 37538467760 46923084700 48800008088 53275118000 58653855875 61000010110 93846169400 97600016176 117307711750 122000020220 152500025275 187692338800 234615423500 244000040440 305000050550 469230847000 488000080880 610000101100 762500126375 938461694000 1220000202200 1525000252750 2440000404400 3050000505500 6100001011000 12200002022000