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212221010120112 = 2433770178905463
BaseRepresentation
bin110000010000001110001101…
…111011000000110110110000
31000211102010112002020112102000
4300100032031323000312300
5210304012112042320422
62031204553001254000
762462314316341530
oct6020161573006660
91024363462215360
10212221010120112
1161690474693584
121b975a2aa94300
139155480a16b66
143a597a1bcd4c0
15198054ebcecac
hexc1038dec0db0

212221010120112 has 80 divisors (see below), whose sum is σ = 696174742202880. Its totient is φ = 60634574319168.

The previous prime is 212221010120057. The next prime is 212221010120201. The reversal of 212221010120112 is 211021010122212.

212221010120112 is a `hidden beast` number, since 212 + 2 + 210 + 10 + 120 + 112 = 666.

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 15 ways as a sum of consecutive naturals, for example, 35089449708 + ... + 35089455755.

It is an arithmetic number, because the mean of its divisors is an integer number (8702184277536).

Almost surely, 2212221010120112 is an apocalyptic number.

It is an amenable number.

212221010120112 is an abundant number, since it is smaller than the sum of its proper divisors (483953732082768).

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

212221010120112 is a wasteful number, since it uses less digits than its factorization.

212221010120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70178905487 (or 70178905475 counting only the distinct ones).

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

Adding to 212221010120112 its reverse (211021010122212), we get a palindrome (423242020242324).

The spelling of 212221010120112 in words is "two hundred twelve trillion, two hundred twenty-one billion, ten million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 70178905463 140357810926 210536716389 280715621852 421073432778 491252338241 561431243704 631610149167 842146865556 982504676482 1122862487408 1263220298334 1473757014723 1684293731112 1894830447501 1965009352964 2526440596668 2947514029446 3368587462224 3789660895002 3930018705928 4421271044169 5052881193336 5895028058892 7579321790004 7860037411856 8842542088338 10105762386672 11790056117784 13263813132507 15158643580008 17685084176676 23580112235568 26527626265014 30317287160016 35370168353352 53055252530028 70740336706704 106110505060056 212221010120112