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211201211200212 = 2232171637210812473
BaseRepresentation
bin110000000001011000011101…
…001010110111001011010100
31000200210122020112122202201100
4300001120131022313023110
5210140310040031401322
62025104255203230100
762325532620502122
oct6001303512671324
91020718215582640
10211201211200212
1161327a2679a072
121b830262378330
1390b025b9184cc
143a2229c084912
151963c651bbdac
hexc0161d2b72d4

211201211200212 has 72 divisors (see below), whose sum is σ = 565619143490856. Its totient is φ = 66218727204864.

The previous prime is 211201211200207. The next prime is 211201211200223. The reversal of 211201211200212 is 212002112102112.

211201211200212 is a `hidden beast` number, since 21 + 1 + 20 + 1 + 211 + 200 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15984035984016 + 195217175216196 = 3998004^2 + 13972014^2 .

It is a super-2 number, since 2×2112012112002122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 104404393 + ... + 106408080.

It is an arithmetic number, because the mean of its divisors is an integer number (7855821437373).

Almost surely, 2211201211200212 is an apocalyptic number.

It is an amenable number.

211201211200212 is an abundant number, since it is smaller than the sum of its proper divisors (354417932290644).

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

211201211200212 is a wasteful number, since it uses less digits than its factorization.

211201211200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210814137 (or 210814132 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211201211200212 its reverse (212002112102112), we get a palindrome (423203323302324).

The spelling of 211201211200212 in words is "two hundred eleven trillion, two hundred one billion, two hundred eleven million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1637 3274 4911 6548 9822 14733 19644 27829 29466 55658 58932 83487 111316 166974 250461 333948 500922 1001844 210812473 421624946 632437419 843249892 1264874838 1897312257 2529749676 3583812041 3794624514 7167624082 7589249028 10751436123 14335248164 21502872246 32254308369 43005744492 64508616738 129017233476 345100018301 690200036602 1035300054903 1380400073204 2070600109806 3105900164709 4141200219612 5866700311117 6211800329418 11733400622234 12423600658836 17600100933351 23466801244468 35200201866702 52800302800053 70400403733404 105600605600106 211201211200212