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201200212101200 = 245213103137528951
BaseRepresentation
bin101101101111110110010011…
…001010111100100001010000
3222101101112220201110000200212
4231233312103022330201100
5202332431013244214300
61551530033524103252
760244143550665434
oct5557662312744120
9871345821400625
10201200212101200
11591215924a8194
121a695b47b34b28
1388361387a9c50
1437981dc3a09c4
15183da2c6c4935
hexb6fd932bc850

201200212101200 has 120 divisors (see below), whose sum is σ = 521071784854656. Its totient is φ = 74217251520000.

The previous prime is 201200212101191. The next prime is 201200212101263. The reversal of 201200212101200 is 2101212002102.

201200212101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 13403276 + ... + 24125675.

Almost surely, 2201200212101200 is an apocalyptic number.

201200212101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200212101200 is an abundant number, since it is smaller than the sum of its proper divisors (319871572753456).

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

201200212101200 is a wasteful number, since it uses less digits than its factorization.

201200212101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37530013 (or 37530002 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201200212101200 its reverse (2101212002102), we get a palindrome (203301424103302).

The spelling of 201200212101200 in words is "two hundred one trillion, two hundred billion, two hundred twelve million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1031 1040 1300 2062 2600 4124 5155 5200 8248 10310 13403 16496 20620 25775 26806 41240 51550 53612 67015 82480 103100 107224 134030 206200 214448 268060 335075 412400 536120 670150 1072240 1340300 2680600 5361200 37528951 75057902 150115804 187644755 300231608 375289510 487876363 600463216 750579020 938223775 975752726 1501158040 1876447550 1951505452 2439381815 3002316080 3752895100 3903010904 4878763630 7505790200 7806021808 9757527260 12196909075 15011580400 19515054520 24393818150 38692348481 39030109040 48787636300 77384696962 97575272600 154769393924 193461742405 195150545200 309538787848 386923484810 503000530253 619077575696 773846969620 967308712025 1006001060506 1547693939240 1934617424050 2012002121012 2515002651265 3095387878480 3869234848100 4024004242024 5030005302530 7738469696200 8048008484048 10060010605060 12575013256325 15476939392400 20120021210120 25150026512650 40240042420240 50300053025300 100600106050600 201200212101200