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212111212012200 = 233252172663682483
BaseRepresentation
bin110000001110100111111101…
…011100011110001010101000
31000211000122010001201201220200
4300032213331130132022220
5210300212230233342300
62031042313502552200
762451346365665664
oct6016477534361250
91024018101651820
10212111212012200
11616489504a8a36
121b9586a7898660
1391480032b7537
143a543477618a4
15197c7756b7200
hexc0e9fd71e2a8

212111212012200 has 144 divisors (see below), whose sum is σ = 712345323037920. Its totient is φ = 56562579400320.

The previous prime is 212111212012181. The next prime is 212111212012213. The reversal of 212111212012200 is 2210212111212.

212111212012200 is a `hidden beast` number, since 2 + 121 + 1 + 121 + 201 + 220 + 0 = 666.

It is a super-2 number, since 2×2121112120122002 (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310452159 + ... + 311134641.

Almost surely, 2212111212012200 is an apocalyptic number.

212111212012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111212012200 is an abundant number, since it is smaller than the sum of its proper divisors (500234111025720).

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

212111212012200 is a wasteful number, since it uses less digits than its factorization.

212111212012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855168 (or 855156 counting only the distinct ones).

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

Adding to 212111212012200 its reverse (2210212111212), we get a palindrome (214321424123412).

The spelling of 212111212012200 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred twelve million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 172663 345326 517989 682483 690652 863315 1035978 1364966 1381304 1553967 1726630 2047449 2071956 2589945 2729932 3107934 3412415 3453260 4094898 4143912 4316575 5179890 5459864 6142347 6215868 6824830 6906520 7769835 8189796 8633150 10237245 10359780 12284694 12431736 12949725 13649660 15539670 16379592 17062075 17266300 20474490 20719560 24569388 25899450 27299320 30711735 31079340 34124150 34532600 38849175 40948980 49138776 51186225 51798900 61423470 62158680 68248300 77698350 81897960 102372450 103597800 122846940 136496600 153558675 155396700 204744900 245693880 307117350 310793400 409489800 614234700 1228469400 117839562229 235679124458 353518686687 471358248916 589197811145 707037373374 942716497832 1060556060061 1178395622290 1414074746748 1767593433435 2121112120122 2356791244580 2828149493496 2945989055725 3535186866870 4242224240244 4713582489160 5302780300305 5891978111450 7070373733740 8484448480488 8837967167175 10605560600610 11783956222900 14140747467480 17675934334350 21211121201220 23567912445800 26513901501525 35351868668700 42422242402440 53027803003050 70703737337400 106055606006100 212111212012200