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12002021301000 = 2335317235333751
BaseRepresentation
bin1010111010100111000000…
…1101110101101100001000
31120111101022111111211111110
42232221300031311230020
53033120114423113000
641305352533330320
72346055163542233
oct256516015655410
946441274454443
1012002021301000
1139080351501a5
12141a0a47969a0
13690a2a3b4593
142d6c8822041a
1515c3005de850
hexaea70375b08

12002021301000 has 128 divisors (see below), whose sum is σ = 39649030536960. Its totient is φ = 3012272000000.

The previous prime is 12002021300987. The next prime is 12002021301073. The reversal of 12002021301000 is 10312020021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117615876 + ... + 117717875.

It is an arithmetic number, because the mean of its divisors is an integer number (309758051070).

Almost surely, 212002021301000 is an apocalyptic number.

12002021301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002021301000 is an abundant number, since it is smaller than the sum of its proper divisors (27647009235960).

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

12002021301000 is a wasteful number, since it uses less digits than its factorization.

12002021301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235333792 (or 235333778 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12002021301000 its reverse (10312020021), we get a palindrome (12012333321021).

The spelling of 12002021301000 in words is "twelve trillion, two billion, twenty-one million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 235333751 470667502 706001253 941335004 1176668755 1412002506 1882670008 2353337510 2824005012 3530006265 4000673767 4706675020 5648010024 5883343775 7060012530 8001347534 9413350040 11766687550 12002021301 14120025060 16002695068 17650031325 20003368835 23533375100 24004042602 28240050120 29416718875 32005390136 35300062650 40006737670 47066750200 48008085204 58833437750 60010106505 70600125300 80013475340 88250156625 96016170408 100016844175 117666875500 120020213010 141200250600 160026950680 176500313250 200033688350 235333751000 240040426020 300050532525 353000626500 400067376700 480080852040 500084220875 600101065050 706001253000 800134753400 1000168441750 1200202130100 1500252662625 2000336883500 2400404260200 3000505325250 4000673767000 6001010650500 12002021301000