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212110121200200 = 23352312367863547
BaseRepresentation
bin110000001110100110111100…
…011011010110101001001000
31000211000112022001011202011020
4300032212330123112221020
5210300203012011401300
62031042013335032440
762451310352151036
oct6016467433265110
91024015261152136
10212110121200200
1161648440799813
121b95844250b720
139147b8b302952
143a54282935556
15197c70ea488a0
hexc0e9bc6d6a48

212110121200200 has 144 divisors (see below), whose sum is σ = 679436615885040. Its totient is φ = 54738095644800.

The previous prime is 212110121200199. The next prime is 212110121200213. The reversal of 212110121200200 is 2002121011212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212110121200200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183355174 + ... + 184508373.

It is an arithmetic number, because the mean of its divisors is an integer number (4718309832535).

Almost surely, 2212110121200200 is an apocalyptic number.

212110121200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110121200200 is an abundant number, since it is smaller than the sum of its proper divisors (467326494684840).

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

212110121200200 is a wasteful number, since it uses less digits than its factorization.

212110121200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367863628 (or 367863588 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212110121200200 its reverse (2002121011212), we get a palindrome (214112242211412).

The spelling of 212110121200200 in words is "two hundred twelve trillion, one hundred ten billion, one hundred twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 961 1240 1550 1860 1922 2325 2883 3100 3720 3844 4650 4805 5766 6200 7688 9300 9610 11532 14415 18600 19220 23064 24025 28830 38440 48050 57660 72075 96100 115320 144150 192200 288300 576600 367863547 735727094 1103590641 1471454188 1839317735 2207181282 2942908376 3678635470 4414362564 5517953205 7357270940 8828725128 9196588675 11035906410 11403769957 14714541880 18393177350 22071812820 22807539914 27589766025 34211309871 36786354700 44143625640 45615079828 55179532050 57018849785 68422619742 73572709400 91230159656 110359064100 114037699570 136845239484 171056549355 220718128200 228075399140 273690478968 285094248925 342113098710 353516868667 456150798280 570188497850 684226197420 707033737334 855282746775 1060550606001 1140376995700 1368452394840 1414067474668 1710565493550 1767584343335 2121101212002 2280753991400 2828134949336 3421130987100 3535168686670 4242202424004 5302753030005 6842261974200 7070337373340 8484404848008 8837921716675 10605506060010 14140674746680 17675843433350 21211012120020 26513765150025 35351686866700 42422024240040 53027530300050 70703373733400 106055060600100 212110121200200