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12002000001200 = 2452112727727273
BaseRepresentation
bin1010111010100110111011…
…1100100101100010110000
31120111101021000102200122222
42232221232330211202300
53033120044000014300
641305350453020212
72346054514520546
oct256515674454260
946441230380588
1012002000001200
113908024122360
12141a099624668
13690a25b67651
142d6c85477d96
1515c2ed7d3785
hexaea6ef258b0

12002000001200 has 60 divisors (see below), whose sum is σ = 31456150923768. Its totient is φ = 4364363635200.

The previous prime is 12002000001149. The next prime is 12002000001223. The reversal of 12002000001200 is 210000020021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1363859237 + ... + 1363868036.

Almost surely, 212002000001200 is an apocalyptic number.

12002000001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002000001200 is an abundant number, since it is smaller than the sum of its proper divisors (19454150922568).

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

12002000001200 is a wasteful number, since it uses less digits than its factorization.

12002000001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727727302 (or 2727727291 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12002000001200 its reverse (210000020021), we get a palindrome (12212000021221).

The spelling of 12002000001200 in words is "twelve trillion, two billion, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 2727727273 5455454546 10910909092 13638636365 21821818184 27277272730 30005000003 43643636368 54554545460 60010000006 68193181825 109109090920 120020000012 136386363650 150025000015 218218181840 240040000024 272772727300 300050000030 480080000048 545545454600 600100000060 750125000075 1091090909200 1200200000120 1500250000150 2400400000240 3000500000300 6001000000600 12002000001200