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12166141020 = 22351125928403
BaseRepresentation
bin10110101010010100…
…01001010001011100
31011101212201222222120
423111022021101130
5144404013003040
65331122342540
7610326330615
oct132512112134
934355658876
1012166141020
115183518900
1224364baa50
1311bb6c5517
14835b08c0c
154b313c7d0
hex2d528945c

12166141020 has 144 divisors (see below), whose sum is σ = 38079538560. Its totient is φ = 2899276160.

The previous prime is 12166141007. The next prime is 12166141037. The reversal of 12166141020 is 2014166121.

It is a happy number.

It is a congruent number.

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, 414139 + ... + 442541.

It is an arithmetic number, because the mean of its divisors is an integer number (264441240).

Almost surely, 212166141020 is an apocalyptic number.

12166141020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12166141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039769280).

12166141020 is an abundant number, since it is smaller than the sum of its proper divisors (25913397540).

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

12166141020 is a wasteful number, since it uses less digits than its factorization.

12166141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28496 (or 28483 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 12166141020 in words is "twelve billion, one hundred sixty-six million, one hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 121 132 165 177 220 236 242 295 330 354 363 484 590 605 649 660 708 726 885 1180 1210 1298 1452 1770 1815 1947 2420 2596 3245 3540 3630 3894 6490 7139 7260 7788 9735 12980 14278 19470 21417 28403 28556 35695 38940 42834 56806 71390 85209 85668 107085 113612 142015 142780 170418 214170 284030 312433 340836 426045 428340 568060 624866 852090 937299 1249732 1562165 1675777 1704180 1874598 3124330 3351554 3436763 3749196 4686495 5027331 6248660 6703108 6873526 8378885 9372990 10054662 10310289 13747052 16757770 17183815 18433547 18745980 20109324 20620578 25136655 33515540 34367630 36867094 41241156 50273310 51551445 55300641 68735260 73734188 92167735 100546620 103102890 110601282 184335470 202769017 206205780 221202564 276503205 368670940 405538034 553006410 608307051 811076068 1013845085 1106012820 1216614102 2027690170 2433228204 3041535255 4055380340 6083070510 12166141020