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12067603285000 = 235419353359851
BaseRepresentation
bin1010111110011011010100…
…1101010000010000001000
31120201122121000120210202211
42233212311031100100020
53040203422420110000
641355440323034504
72353566313316614
oct257466515202010
946648530523684
1012067603285000
1139329294a847a
12142a947b0ba34
13696c7c42b883
142da10a18c344
1515dd8ce087ba
hexaf9b5350408

12067603285000 has 160 divisors (see below), whose sum is σ = 29846916554400. Its totient is φ = 4560019200000.

The previous prime is 12067603284983. The next prime is 12067603285079. The reversal of 12067603285000 is 58230676021.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 39 ways as a sum of consecutive naturals, for example, 33355075 + ... + 33714925.

It is an arithmetic number, because the mean of its divisors is an integer number (186543228465).

Almost surely, 212067603285000 is an apocalyptic number.

12067603285000 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 12067603285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923458277200).

12067603285000 is an abundant number, since it is smaller than the sum of its proper divisors (17779313269400).

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

12067603285000 is a wasteful number, since it uses less digits than its factorization.

12067603285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360249 (or 360230 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 12067603285000 in words is "twelve trillion, sixty-seven billion, six hundred three million, two hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 353 380 475 500 625 706 760 950 1000 1250 1412 1765 1900 2375 2500 2824 3530 3800 4750 5000 6707 7060 8825 9500 11875 13414 14120 17650 19000 23750 26828 33535 35300 44125 47500 53656 67070 70600 88250 95000 134140 167675 176500 220625 268280 335350 353000 359851 441250 670700 719702 838375 882500 1341400 1439404 1676750 1765000 1799255 2878808 3353500 3598510 4191875 6707000 6837169 7197020 8383750 8996275 13674338 14394040 16767500 17992550 27348676 33535000 34185845 35985100 44981375 54697352 68371690 71970200 89962750 127027403 136743380 170929225 179925500 224906875 254054806 273486760 341858450 359851000 449813750 508109612 635137015 683716900 854646125 899627500 1016219224 1270274030 1367433800 1709292250 1799255000 2413520657 2540548060 3175685075 3418584500 4273230625 4827041314 5081096120 6351370150 6837169000 8546461250 9654082628 12067603285 12702740300 15878425375 17092922500 19308165256 24135206570 25405480600 31756850750 34185845000 48270413140 60338016425 63513701500 79392126875 96540826280 120676032850 127027403000 158784253750 241352065700 301690082125 317568507500 482704131400 603380164250 635137015000 1206760328500 1508450410625 2413520657000 3016900821250 6033801642500 12067603285000