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12134222023140 = 22325711385224203
BaseRepresentation
bin1011000010010011011111…
…1111100100100111100100
31120222000112210111100100200
42300210313333210213210
53042301341314220030
641450215025510500
72361445222254150
oct260446777444744
946860483440320
1012134222023140
113959104aa2458
12143b83a4a2430
136a03381b1359
142dd429ab4060
1516098b763d60
hexb0937fe49e4

12134222023140 has 144 divisors (see below), whose sum is σ = 42437562830208. Its totient is φ = 2748991859712.

The previous prime is 12134222023109. The next prime is 12134222023219. The reversal of 12134222023140 is 4132022243121.

12134222023140 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 422 + 2 + 0 + 231 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42469722 + ... + 42754481.

It is an arithmetic number, because the mean of its divisors is an integer number (294705297432).

Almost surely, 212134222023140 is an apocalyptic number.

12134222023140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12134222023140 is an abundant number, since it is smaller than the sum of its proper divisors (30303340807068).

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

12134222023140 is a wasteful number, since it uses less digits than its factorization.

12134222023140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85224338 (or 85224333 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12134222023140 its reverse (4132022243121), we get a palindrome (16266244266261).

The spelling of 12134222023140 in words is "twelve trillion, one hundred thirty-four billion, two hundred twenty-two million, twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 113 126 140 180 210 226 252 315 339 420 452 565 630 678 791 1017 1130 1260 1356 1582 1695 2034 2260 2373 3164 3390 3955 4068 4746 5085 6780 7119 7910 9492 10170 11865 14238 15820 20340 23730 28476 35595 47460 71190 142380 85224203 170448406 255672609 340896812 426121015 511345218 596569421 767017827 852242030 1022690436 1193138842 1278363045 1534035654 1704484060 1789708263 2386277684 2556726090 2982847105 3068071308 3579416526 3835089135 5113452180 5369124789 5965694210 7158833052 7670178270 8948541315 9630334939 10738249578 11931388420 15340356540 17897082630 19260669878 21476499156 26845623945 28891004817 35794165260 38521339756 48151674695 53691247890 57782009634 67412344573 86673014451 96303349390 107382495780 115564019268 134824689146 144455024085 173346028902 192606698780 202237033719 269649378292 288910048170 337061722865 346692057804 404474067438 433365072255 577820096340 606711101157 674123445730 808948134876 866730144510 1011185168595 1213422202314 1348246891460 1733460289020 2022370337190 2426844404628 3033555505785 4044740674380 6067111011570 12134222023140