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12171074786820 = 22335220310231061
BaseRepresentation
bin1011000100011100110010…
…0101101101011000000100
31121002112200010110201021000
42301013030211231120010
53043402330121134240
641515151540253300
72364221402502645
oct261071445553004
947075603421230
1012171074786820
1139727a6466244
121446a043a1230
136a395c20a3b1
143011242ad6cc
151618e6cc1430
hexb11cc96d604

12171074786820 has 96 divisors (see below), whose sum is σ = 37882757888640. Its totient is φ = 3244146353280.

The previous prime is 12171074786777. The next prime is 12171074786839. The reversal of 12171074786820 is 2868747017121.

It is a happy number.

12171074786820 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 107 + 478 + 68 + 2 + 0 = 666.

It is a super-2 number, since 2×121710747868202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3925911 + ... + 6305150.

It is an arithmetic number, because the mean of its divisors is an integer number (394612061340).

Almost surely, 212171074786820 is an apocalyptic number.

12171074786820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12171074786820 is an abundant number, since it is smaller than the sum of its proper divisors (25711683101820).

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

12171074786820 is a wasteful number, since it uses less digits than its factorization.

12171074786820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233282 (or 10233274 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 12171074786820 in words is "twelve trillion, one hundred seventy-one billion, seventy-four million, seven hundred eighty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2203 4406 6609 8812 11015 13218 19827 22030 26436 33045 39654 44060 59481 66090 79308 99135 118962 132180 198270 237924 297405 396540 594810 1189620 10231061 20462122 30693183 40924244 51155305 61386366 92079549 102310610 122772732 153465915 184159098 204621220 276238647 306931830 368318196 460397745 552477294 613863660 920795490 1104954588 1381193235 1841590980 2762386470 5524772940 22539027383 45078054766 67617082149 90156109532 112695136915 135234164298 202851246447 225390273830 270468328596 338085410745 405702492894 450780547660 608553739341 676170821490 811404985788 1014256232235 1217107478682 1352341642980 2028512464470 2434214957364 3042768696705 4057024928940 6085537393410 12171074786820