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12000020201200 = 2452101571520193
BaseRepresentation
bin1010111010011111100011…
…1100001111111011110000
31120111012011001002102122001
42232213320330033323300
53033102020132414300
641304422211023344
72345654454510103
oct256477074177360
946435131072561
1012000020201200
1139071a8622309
12141982659ab54
1369079b943765
142d6b3855a73a
1515c234ab116a
hexae9f8f0fef0

12000020201200 has 120 divisors (see below), whose sum is σ = 29166540985296. Its totient is φ = 4744151040000.

The previous prime is 12000020201177. The next prime is 12000020201237. The reversal of 12000020201200 is 210202000021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22808304 + ... + 23328496.

Almost surely, 212000020201200 is an apocalyptic number.

12000020201200 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 12000020201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583270492648).

12000020201200 is an abundant number, since it is smaller than the sum of its proper divisors (17166520784096).

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

12000020201200 is a wasteful number, since it uses less digits than its factorization.

12000020201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520883 (or 520872 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000020201200 its reverse (210202000021), we get a palindrome (12210222201221).

The spelling of 12000020201200 in words is "twelve trillion, twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 571 808 1010 1142 1616 2020 2284 2525 2855 4040 4568 5050 5710 8080 9136 10100 11420 14275 20200 22840 28550 40400 45680 57100 57671 114200 115342 228400 230684 288355 461368 520193 576710 922736 1040386 1153420 1441775 2080772 2306840 2600965 2883550 4161544 4613680 5201930 5767100 8323088 10403860 11534200 13004825 20807720 23068400 26009650 41615440 52019300 52539493 104038600 105078986 208077200 210157972 262697465 297030203 420315944 525394930 594060406 840631888 1050789860 1188120812 1313487325 1485151015 2101579720 2376241624 2626974650 2970302030 4203159440 4752483248 5253949300 5940604060 7425755075 10507898600 11881208120 14851510150 21015797200 23762416240 29703020300 30000050503 59406040600 60000101006 118812081200 120000202012 150000252515 240000404024 300000505030 480000808048 600001010060 750001262575 1200002020120 1500002525150 2400004040240 3000005050300 6000010100600 12000020201200