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212000212011200 = 2652154985539143
BaseRepresentation
bin110000001101000000100101…
…010101000100100011000000
31000210122000121021122110001112
4300031000211111010203000
5210241402413233324300
62030515315231422452
762440336612361504
oct6015004525044300
91023560537573045
10212000212011200
116160586a934318
121b93b08a084a28
13913a6c387cb82
143a4cc17830304
15197992a8dce35
hexc0d0255448c0

212000212011200 has 84 divisors (see below), whose sum is σ = 521989795388400. Its totient is φ = 84745338762240.

The previous prime is 212000212011169. The next prime is 212000212011209. The reversal of 212000212011200 is 2110212000212.

It is not an unprimeable number, because it can be changed into a prime (212000212011209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40291172 + ... + 45247971.

Almost surely, 2212000212011200 is an apocalyptic number.

212000212011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000212011200 is an abundant number, since it is smaller than the sum of its proper divisors (309989583377200).

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

212000212011200 is a wasteful number, since it uses less digits than its factorization.

212000212011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85540714 (or 85540699 counting only the distinct ones).

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

Adding to 212000212011200 its reverse (2110212000212), we get a palindrome (214110424011412).

The spelling of 212000212011200 in words is "two hundred twelve trillion, two hundred twelve million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1549 1600 3098 6196 7745 12392 15490 24784 30980 38725 49568 61960 77450 99136 123920 154900 247840 309800 495680 619600 1239200 2478400 85539143 171078286 342156572 427695715 684313144 855391430 1368626288 1710782860 2138478575 2737252576 3421565720 4276957150 5474505152 6843131440 8553914300 13686262880 17107828600 27372525760 34215657200 68431314400 132500132507 136862628800 265000265014 530000530028 662500662535 1060001060056 1325001325070 2120002120112 2650002650140 3312503312675 4240004240224 5300005300280 6625006625350 8480008480448 10600010600560 13250013250700 21200021201120 26500026501400 42400042402240 53000053002800 106000106005600 212000212011200