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12201010222200 = 23352151134668987
BaseRepresentation
bin1011000110001100010011…
…1000010101010001111000
31121012101221101021101121220
42301203010320111101320
53044400132104102300
641541022224432040
72366331256503522
oct261430470252170
947171841241556
1012201010222200
113984468210988
121450779778620
136a67200b7977
14302763d0ca12
15162599de4da0
hexb18c4e15478

12201010222200 has 96 divisors (see below), whose sum is σ = 38073616287360. Its totient is φ = 3232055664000.

The previous prime is 12201010222189. The next prime is 12201010222213. The reversal of 12201010222200 is 222201010221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12201010222200.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 67243894 + ... + 67425093.

It is an arithmetic number, because the mean of its divisors is an integer number (396600169660).

Almost surely, 212201010222200 is an apocalyptic number.

12201010222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201010222200 is an abundant number, since it is smaller than the sum of its proper divisors (25872606065160).

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

12201010222200 is a wasteful number, since it uses less digits than its factorization.

12201010222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134669157 (or 134669148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12201010222200 its reverse (222201010221), we get a palindrome (12423211232421).

The spelling of 12201010222200 in words is "twelve trillion, two hundred one billion, ten million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 151 200 300 302 453 600 604 755 906 1208 1510 1812 2265 3020 3624 3775 4530 6040 7550 9060 11325 15100 18120 22650 30200 45300 90600 134668987 269337974 404006961 538675948 673344935 808013922 1077351896 1346689870 1616027844 2020034805 2693379740 3232055688 3366724675 4040069610 5386759480 6733449350 8080139220 10100174025 13466898700 16160278440 20200348050 20335017037 26933797400 40400696100 40670034074 61005051111 80801392200 81340068148 101675085185 122010102222 162680136296 203350170370 244020204444 305025255555 406700340740 488040408888 508375425925 610050511110 813400681480 1016750851850 1220101022220 1525126277775 2033501703700 2440202044440 3050252555550 4067003407400 6100505111100 12201010222200