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12001111020200 = 2352105977566213
BaseRepresentation
bin1010111010100011100111…
…1101011001001010101000
31120111021222001122202222202
42232220321331121022220
53033111233410121300
641305122335035332
72346023501354321
oct256507175311250
946437861582882
1012001111020200
113907708336815
121419a8b96bb48
1369091392b5a3
142d6bdd389448
1515c29a731ad5
hexaea39f592a8

12001111020200 has 48 divisors (see below), whose sum is σ = 27902895690780. Its totient is φ = 4800390632960.

The previous prime is 12001111020191. The next prime is 12001111020221. The reversal of 12001111020200 is 202011110021.

It can be written as a sum of positive squares in 6 ways, for example, as 2202796209124 + 9798314811076 = 1484182^2 + 3130226^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20912294 + ... + 21478506.

Almost surely, 212001111020200 is an apocalyptic number.

12001111020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001111020200 is an abundant number, since it is smaller than the sum of its proper divisors (15901784670580).

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

12001111020200 is a wasteful number, since it uses less digits than its factorization.

12001111020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672206 (or 672197 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12001111020200 its reverse (202011110021), we get a palindrome (12203122130221).

The spelling of 12001111020200 in words is "twelve trillion, one billion, one hundred eleven million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 105977 211954 423908 529885 566213 847816 1059770 1132426 2119540 2264852 2649425 2831065 4239080 4529704 5298850 5662130 10597700 11324260 14155325 21195400 22648520 28310650 56621300 113242600 60005555101 120011110202 240022220404 300027775505 480044440808 600055551010 1200111102020 1500138877525 2400222204040 3000277755050 6000555510100 12001111020200