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212344420034120 = 235112359355638139
BaseRepresentation
bin110000010010000001001001…
…101110011110011001001000
31000211211221001201202201112212
4300102001021232132121020
5210313022333012042440
62031341402504124252
762504243452322303
oct6022011156363110
91024757051681485
10212344420034120
1161728843335550
121b995930766688
139163cba4b870a
143a6174bd63b3a
1519838741ea465
hexc12049b9e648

212344420034120 has 128 divisors (see below), whose sum is σ = 553088435328000. Its totient is φ = 72607082254080.

The previous prime is 212344420034107. The next prime is 212344420034171. The reversal of 212344420034120 is 21430024443212.

It is a happy 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, 177221990 + ... + 178416149.

It is an arithmetic number, because the mean of its divisors is an integer number (4321003401000).

Almost surely, 2212344420034120 is an apocalyptic number.

212344420034120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212344420034120 is an abundant number, since it is smaller than the sum of its proper divisors (340744015293880).

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

212344420034120 is a wasteful number, since it uses less digits than its factorization.

212344420034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355638243 (or 355638239 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 212344420034120 its reverse (21430024443212), we get a palindrome (233774444477332).

The spelling of 212344420034120 in words is "two hundred twelve trillion, three hundred forty-four billion, four hundred twenty million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 59 88 92 110 115 118 184 220 230 236 253 295 440 460 472 506 590 649 920 1012 1180 1265 1298 1357 2024 2360 2530 2596 2714 3245 5060 5192 5428 6490 6785 10120 10856 12980 13570 14927 25960 27140 29854 54280 59708 74635 119416 149270 298540 597080 355638139 711276278 1422552556 1778190695 2845105112 3556381390 3912019529 7112762780 7824039058 8179677197 14225525560 15648078116 16359354394 19560097645 20982650201 31296156232 32718708788 39120195290 40898385985 41965300402 65437417576 78240390580 81796771970 83930600804 89976449167 104913251005 156480781160 163593543940 167861201608 179952898334 209826502010 230809152211 327187087880 359905796668 419653004020 449882245835 461618304422 482600954623 719811593336 839306008040 899764491670 923236608844 965201909246 1154045761055 1799528983340 1846473217688 1930403818492 2308091522110 2413004773115 3599057966680 3860807636984 4616183044220 4826009546230 5308610500853 9232366088440 9652019092460 10617221001706 19304038184920 21234442003412 26543052504265 42468884006824 53086105008530 106172210017060 212344420034120