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212012111112200 = 235272191138625731
BaseRepresentation
bin110000001101001011101010…
…100100100010100000001000
31000210200011022112220101222222
4300031023222210202200020
5210242101300421042300
62030525004054433212
762441240520150200
oct6015135244424010
91023604275811888
10212012111112200
116160a91663aa93
121b94144b062808
13913b86bb47939
143a4d625ca5400
151979dc537c785
hexc0d2ea922808

212012111112200 has 144 divisors (see below), whose sum is σ = 603585500533200. Its totient is φ = 68864084150400.

The previous prime is 212012111112157. The next prime is 212012111112251. The reversal of 212012111112200 is 2211111210212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 569126666 + ... + 569499065.

It is an arithmetic number, because the mean of its divisors is an integer number (4191565975925).

Almost surely, 2212012111112200 is an apocalyptic number.

212012111112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012111112200 is an abundant number, since it is smaller than the sum of its proper divisors (391573389421000).

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

212012111112200 is a wasteful number, since it uses less digits than its factorization.

212012111112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138625780 (or 1138625764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212012111112200 its reverse (2211111210212), we get a palindrome (214223222322412).

The spelling of 212012111112200 in words is "two hundred twelve trillion, twelve billion, one hundred eleven million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 49 50 56 70 76 95 98 100 133 140 152 175 190 196 200 245 266 280 350 380 392 475 490 532 665 700 760 931 950 980 1064 1225 1330 1400 1862 1900 1960 2450 2660 3325 3724 3800 4655 4900 5320 6650 7448 9310 9800 13300 18620 23275 26600 37240 46550 93100 186200 1138625731 2277251462 4554502924 5693128655 7970380117 9109005848 11386257310 15940760234 21633888889 22772514620 28465643275 31881520468 39851900585 43267777778 45545029240 55792660819 56931286550 63763040936 79703801170 86535555556 108169444445 111585321638 113862573100 151437222223 159407602340 173071111112 199259502925 216338888890 223170643276 227725146200 278963304095 302874444446 318815204680 398519005850 432677777780 446341286552 540847222225 557926608190 605748888892 757186111115 797038011700 865355555560 1060060555561 1081694444450 1115853216380 1211497777784 1394816520475 1514372222230 1594076023400 2120121111122 2163388888900 2231706432760 2789633040950 3028744444460 3785930555575 4240242222244 4326777777800 5300302777805 5579266081900 6057488888920 7571861111150 8480484444488 10600605555610 11158532163800 15143722222300 21201211111220 26501513889025 30287444444600 42402422222440 53003027778050 106006055556100 212012111112200