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12022130121200 = 245264188353101
BaseRepresentation
bin1010111011110001111011…
…0010111001100111110000
31120120022012220210201222222
42232330132302321213300
53033432310302334300
641322520151220212
72350366406645213
oct256743662714760
946508186721888
1012022130121200
113915614045471
121421b77077668
136928b34a0564
142d7c34b5177a
1515cacaba3785
hexaef1ecb99f0

12022130121200 has 120 divisors (see below), whose sum is σ = 28961533853616. Its totient is φ = 4795822080000.

The previous prime is 12022130121181. The next prime is 12022130121217. The reversal of 12022130121200 is 212103122021.

It is a super-2 number, since 2×120221301212002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 226374650 + ... + 226427750.

Almost surely, 212022130121200 is an apocalyptic number.

12022130121200 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 12022130121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480766926808).

12022130121200 is an abundant number, since it is smaller than the sum of its proper divisors (16939403732416).

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

12022130121200 is a wasteful number, since it uses less digits than its factorization.

12022130121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54643 (or 54632 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12022130121200 its reverse (212103122021), we get a palindrome (12234233243221).

The spelling of 12022130121200 in words is "twelve trillion, twenty-two billion, one hundred thirty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 641 883 1282 1766 2564 3205 3532 4415 5128 6410 7064 8830 10256 12820 14128 16025 17660 22075 25640 32050 35320 44150 51280 53101 64100 70640 88300 106202 128200 176600 212404 256400 265505 353200 424808 531010 566003 849616 1062020 1132006 1327525 2124040 2264012 2655050 2830015 4248080 4528024 5310100 5660030 9056048 10620200 11320060 14150075 21240400 22640120 28300150 34037741 45280240 46888183 56600300 68075482 93776366 113200600 136150964 170188705 187552732 226401200 234440915 272301928 340377410 375105464 468881830 544603856 680754820 750210928 850943525 937763660 1172204575 1361509640 1701887050 1875527320 2344409150 2723019280 3403774100 3751054640 4688818300 6807548200 9377636600 13615096400 18755273200 30055325303 60110650606 120221301212 150276626515 240442602424 300553253030 480885204848 601106506060 751383132575 1202213012120 1502766265150 2404426024240 3005532530300 6011065060600 12022130121200