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12201112200 = 233521910310391
BaseRepresentation
bin10110101110011111…
…00011001010001000
31011111022112201102110
423113033203022020
5144441441042300
65334412102320
7611232512454
oct132717431210
934438481373
1012201112200
1151a1234202
1224461649a0
1311c5a1b124
1483a60d664
154b6249550
hex2d73e3288

12201112200 has 192 divisors, whose sum is σ = 40204569600. Its totient is φ = 3052166400.

The previous prime is 12201112163. The next prime is 12201112201. The reversal of 12201112200 is 221110221.

12201112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12201112201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169005 + ... + 1179395.

It is an arithmetic number, because the mean of its divisors is an integer number (209398800).

Almost surely, 212201112200 is an apocalyptic number.

12201112200 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 12201112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20102284800).

12201112200 is an abundant number, since it is smaller than the sum of its proper divisors (28003457400).

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

12201112200 is a wasteful number, since it uses less digits than its factorization.

12201112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12201112200 its reverse (221110221), we get a palindrome (12422222421).

The spelling of 12201112200 in words is "twelve billion, two hundred one million, one hundred twelve thousand, two hundred".