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12022212320200 = 2352137438766873
BaseRepresentation
bin1010111011110010001110…
…1100011101101111001000
31120120022102122110212211101
42232330203230131233020
53033432442323221300
641322532245111144
72350401425430355
oct256744354355710
946508378425741
1012022212320200
113915656488825
121421b9a6b84b4
136928c7520814
142d7c41a2b62c
1515cad2eddb6a
hexaef23b1dbc8

12022212320200 has 48 divisors (see below), whose sum is σ = 28155670304580. Its totient is φ = 4773783567360.

The previous prime is 12022212320197. The next prime is 12022212320203. The reversal of 12022212320200 is 202321222021.

It is an interprime number because it is at equal distance from previous prime (12022212320197) and next prime (12022212320203).

It can be written as a sum of positive squares in 6 ways, for example, as 4660443345636 + 7361768974564 = 2158806^2 + 2713258^2 .

It is not an unprimeable number, because it can be changed into a prime (12022212320203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219356037 + ... + 219410836.

Almost surely, 212022212320200 is an apocalyptic number.

12022212320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022212320200 is an abundant number, since it is smaller than the sum of its proper divisors (16133457984380).

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

12022212320200 is a wasteful number, since it uses less digits than its factorization.

12022212320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438767026 (or 438767017 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12022212320200 its reverse (202321222021), we get a palindrome (12224533542221).

The spelling of 12022212320200 in words is "twelve trillion, twenty-two billion, two hundred twelve million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 2740 3425 5480 6850 13700 27400 438766873 877533746 1755067492 2193834365 3510134984 4387668730 8775337460 10969171825 17550674920 21938343650 43876687300 60111061601 87753374600 120222123202 240444246404 300555308005 480888492808 601110616010 1202221232020 1502776540025 2404442464040 3005553080050 6011106160100 12022212320200