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212011120120200 = 23352394398959453
BaseRepresentation
bin110000001101001010101111…
…100000001101000110001000
31000210200001202111011210112120
4300031022233200031012020
5210242042233222321300
62030524321454211240
762441204124644532
oct6015125740150610
91023601674153476
10212011120120200
116160a45820a035
121b9412131b3b20
13913b74174293b
143a4d570420852
151979d6837a3a0
hexc0d2af80d188

212011120120200 has 96 divisors (see below), whose sum is σ = 657251210313600. Its totient is φ = 56534858876160.

The previous prime is 212011120120169. The next prime is 212011120120333. The reversal of 212011120120200 is 2021021110212.

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 212011120120200.

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 23 ways as a sum of consecutive naturals, for example, 19183674 + ... + 28143126.

It is an arithmetic number, because the mean of its divisors is an integer number (6846366774100).

Almost surely, 2212011120120200 is an apocalyptic number.

212011120120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011120120200 is an abundant number, since it is smaller than the sum of its proper divisors (445240090193400).

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

212011120120200 is a wasteful number, since it uses less digits than its factorization.

212011120120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8998911 (or 8998902 counting only the distinct ones).

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

Adding to 212011120120200 its reverse (2021021110212), we get a palindrome (214032141230412).

The spelling of 212011120120200 in words is "two hundred twelve trillion, eleven billion, one hundred twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 39439 78878 118317 157756 197195 236634 315512 394390 473268 591585 788780 946536 985975 1183170 1577560 1971950 2366340 2957925 3943900 4732680 5915850 7887800 8959453 11831700 17918906 23663400 26878359 35837812 44797265 53756718 71675624 89594530 107513436 134391795 179189060 215026872 223986325 268783590 358378120 447972650 537567180 671958975 895945300 1075134360 1343917950 1791890600 2687835900 5375671800 353351866867 706703733734 1060055600601 1413407467468 1766759334335 2120111201202 2826814934936 3533518668670 4240222402404 5300278003005 7067037337340 8480444804808 8833796671675 10600556006010 14134074674680 17667593343350 21201112012020 26501390015025 35335186686700 42402224024040 53002780030050 70670373373400 106005560060100 212011120120200