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12146200161060 = 2235725970023061
BaseRepresentation
bin1011000011000000000111…
…1100100010101100100100
31121000011110120110210120110
42300300001330202230210
53043000404220123220
641455515354533020
72362351106615100
oct260600174425444
947004416423513
1012146200161060
1139631a1381799
121442021a37170
136a14c6960024
142ddc44840900
15160e3d116be0
hexb0c01f22b24

12146200161060 has 144 divisors (see below), whose sum is σ = 40232450502720. Its totient is φ = 2729218786560.

The previous prime is 12146200161049. The next prime is 12146200161061. The reversal of 12146200161060 is 6016100264121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12146200161061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34838071 + ... + 35184990.

It is an arithmetic number, because the mean of its divisors is an integer number (279392017380).

Almost surely, 212146200161060 is an apocalyptic number.

12146200161060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12146200161060 is an abundant number, since it is smaller than the sum of its proper divisors (28086250341660).

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

12146200161060 is a wasteful number, since it uses less digits than its factorization.

12146200161060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70023146 (or 70023137 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12146200161060 in words is "twelve trillion, one hundred forty-six billion, two hundred million, one hundred sixty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 59 60 70 84 98 105 118 140 147 177 196 210 236 245 294 295 354 413 420 490 588 590 708 735 826 885 980 1180 1239 1470 1652 1770 2065 2478 2891 2940 3540 4130 4956 5782 6195 8260 8673 11564 12390 14455 17346 24780 28910 34692 43365 57820 86730 173460 70023061 140046122 210069183 280092244 350115305 420138366 490161427 700230610 840276732 980322854 1050345915 1400461220 1470484281 1960645708 2100691830 2450807135 2940968562 3431129989 4131360599 4201383660 4901614270 5881937124 6862259978 7352421405 8262721198 9803228540 10293389967 12394081797 13724519956 14704842810 16525442396 17155649945 20586779934 20656802995 24788163594 28919524193 29409685620 34311299890 41173559868 41313605990 49576327188 51466949835 57839048386 61970408985 68622599780 82627211980 86758572579 102933899670 115678096772 123940817970 144597620965 173517145158 202436669351 205867799340 247881635940 289195241930 347034290316 404873338702 433792862895 578390483860 607310008053 809746677404 867585725790 1012183346755 1214620016106 1735171451580 2024366693510 2429240032212 3036550040265 4048733387020 6073100080530 12146200161060