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212000110120120 = 23579411259639091
BaseRepresentation
bin110000001101000000011111…
…010000011000110010111000
31000210122000100011220211202211
4300031000133100120302320
5210241402211142320440
62030515301151504504
762440334234332120
oct6015003720306270
91023560304824684
10212000110120120
1161605818371013
121b93b05bb28134
13913a6a87266aa
143a4cc080a9c80
1519799219b2eea
hexc0d01f418cb8

212000110120120 has 128 divisors (see below), whose sum is σ = 546156775180800. Its totient is φ = 72550723852800.

The previous prime is 212000110120081. The next prime is 212000110120147. The reversal of 212000110120120 is 21021011000212.

It is a self number, because there is not a number n which added to its sum of digits gives 212000110120120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331401775 + ... + 332040865.

It is an arithmetic number, because the mean of its divisors is an integer number (4266849806100).

Almost surely, 2212000110120120 is an apocalyptic number.

212000110120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000110120120 is an abundant number, since it is smaller than the sum of its proper divisors (334156665060680).

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

212000110120120 is a wasteful number, since it uses less digits than its factorization.

212000110120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641309 (or 641305 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212000110120120 its reverse (21021011000212), we get a palindrome (233021121120332).

The spelling of 212000110120120 in words is "two hundred twelve trillion, one hundred ten million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 941 1259 1882 2518 3764 4705 5036 6295 6587 7528 8813 9410 10072 12590 13174 17626 18820 25180 26348 32935 35252 37640 44065 50360 52696 65870 70504 88130 131740 176260 263480 352520 639091 1184719 1278182 2369438 2556364 3195455 4473637 4738876 5112728 5923595 6390910 8293033 8947274 9477752 11847190 12781820 16586066 17894548 22368185 23694380 25563640 33172132 35789096 41465165 44736370 47388760 66344264 82930330 89472740 165860660 178945480 331721320 601384631 804615569 1202769262 1609231138 2405538524 3006923155 3218462276 4023077845 4209692417 4811077048 5632308983 6013846310 6436924552 8046155690 8419384834 11264617966 12027692620 16092311380 16838769668 21048462085 22529235932 24055385240 28161544915 32184622760 33677539336 42096924170 45058471864 56323089830 84193848340 112646179660 168387696680 225292359320 757143250429 1514286500858 3028573001716 3785716252145 5300002753003 6057146003432 7571432504290 10600005506006 15142865008580 21200011012012 26500013765015 30285730017160 42400022024024 53000027530030 106000055060060 212000110120120