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12201201200 = 2452263115981
BaseRepresentation
bin10110101110011111…
…11000111000110000
31011111022201020111202
423113033320320300
5144442001414300
65334414030332
7611233333106
oct132717707060
934438636452
1012201201200
1151a1295061
1224461a83a8
1311c5a4c7a6
1483a633c76
154b6265ad5
hex2d73f8e30

12201201200 has 60 divisors (see below), whose sum is σ = 29425097328. Its totient is φ = 4861881600.

The previous prime is 12201201169. The next prime is 12201201209. The reversal of 12201201200 is 210210221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12201201209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47210 + ... + 163190.

Almost surely, 212201201200 is an apocalyptic number.

12201201200 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 12201201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712548664).

12201201200 is an abundant number, since it is smaller than the sum of its proper divisors (17223896128).

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

12201201200 is a wasteful number, since it uses less digits than its factorization.

12201201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116262 (or 116251 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12201201200 its reverse (210210221), we get a palindrome (12411411421).

The spelling of 12201201200 in words is "twelve billion, two hundred one million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 263 400 526 1052 1315 2104 2630 4208 5260 6575 10520 13150 21040 26300 52600 105200 115981 231962 463924 579905 927848 1159810 1855696 2319620 2899525 4639240 5799050 9278480 11598100 23196200 30503003 46392400 61006006 122012012 152515015 244024024 305030030 488048048 610060060 762575075 1220120120 1525150150 2440240240 3050300300 6100600600 12201201200