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212001200002112 = 26192831471418799
BaseRepresentation
bin110000001101000001100000…
…001101111101010001000000
31000210122010011010201120210112
4300031001200031331101000
5210241411424200031422
62030520001243450452
762440403240224463
oct6015014015752100
91023563133646715
10212001200002112
11616062275a5534
121b93b304b26a28
13913a820473b91
143a4ccacb332da
1519799874eaee2
hexc0d06037d440

212001200002112 has 112 divisors (see below), whose sum is σ = 444699396096000. Its totient is φ = 99998509201920.

The previous prime is 212001200002087. The next prime is 212001200002121. The reversal of 212001200002112 is 211200002100212.

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 15 ways as a sum of consecutive naturals, for example, 506002889 + ... + 506421687.

Almost surely, 2212001200002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212001200002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222349698048000).

212001200002112 is an abundant number, since it is smaller than the sum of its proper divisors (232698196093888).

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

212001200002112 is a wasteful number, since it uses less digits than its factorization.

212001200002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420584 (or 420574 counting only the distinct ones).

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

Adding to 212001200002112 its reverse (211200002100212), we get a palindrome (423201202102324).

The spelling of 212001200002112 in words is "two hundred twelve trillion, one billion, two hundred million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 283 304 566 608 1132 1216 1471 2264 2942 4528 5377 5884 9056 10754 11768 18112 21508 23536 27949 43016 47072 55898 86032 94144 111796 172064 223592 344128 416293 418799 447184 832586 837598 894368 1665172 1675196 1788736 3330344 3350392 6660688 6700784 7909567 7957181 13321376 13401568 15819134 15914362 26642752 26803136 31638268 31828724 63276536 63657448 118520117 126553072 127314896 237040234 253106144 254629792 474080468 506212288 509259584 616053329 948160936 1232106658 1896321872 2251882223 2464213316 3792643744 4503764446 4928426632 7585287488 9007528892 9856853264 11705013251 18015057784 19713706528 23410026502 36030115568 39427413056 46820053004 72060231136 93640106008 144120462272 174343092107 187280212016 348686184214 374560424032 697372368428 749120848064 1394744736856 2789489473712 3312518750033 5578978947424 6625037500066 11157957894848 13250075000132 26500150000264 53000300000528 106000600001056 212001200002112