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12033200200200 = 2335223871971029
BaseRepresentation
bin1010111100011011001010…
…0111111001101000001000
31120121100210102010000112220
42233012302213321220020
53034122443222401300
641331550441334040
72351240630034054
oct257066247715010
946540712100486
1012033200200200
11391a284898693
121424146497320
13693958a9366a
142d85a5064c64
1515d027986da0
hexaf1b29f9a08

12033200200200 has 96 divisors (see below), whose sum is σ = 38924786779200. Its totient is φ = 3069338018560.

The previous prime is 12033200200187. The next prime is 12033200200237. The reversal of 12033200200200 is 200200233021.

12033200200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12033200200200.

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, 435971715 + ... + 435999314.

It is an arithmetic number, because the mean of its divisors is an integer number (405466528950).

Almost surely, 212033200200200 is an apocalyptic number.

12033200200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033200200200 is an abundant number, since it is smaller than the sum of its proper divisors (26891586579000).

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

12033200200200 is a wasteful number, since it uses less digits than its factorization.

12033200200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871971071 (or 871971062 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12033200200200 its reverse (200200233021), we get a palindrome (12233400433221).

The spelling of 12033200200200 in words is "twelve trillion, thirty-three billion, two hundred million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 871971029 1743942058 2615913087 3487884116 4359855145 5231826174 6975768232 8719710290 10463652348 13079565435 17439420580 20055333667 20927304696 21799275725 26159130870 34878841160 40110667334 43598551450 52318261740 60166001001 65397827175 80221334668 87197102900 100276668335 104636523480 120332002002 130795654350 160442669336 174394205800 200553336670 240664004004 261591308700 300830005005 401106673340 481328008008 501383341675 523182617400 601660010010 802213346680 1002766683350 1203320020020 1504150025025 2005533366700 2406640040040 3008300050050 4011066733400 6016600100100 12033200200200