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12201203200 = 29523197317
BaseRepresentation
bin10110101110011111…
…11001011000000000
31011111022201100020211
423113033321120000
5144442002000300
65334414043504
7611233341664
oct132717713000
934438640224
1012201203200
1151a129660a
1224461a9594
1311c5a50684
1483a6348a4
154b62664ba
hex2d73f9600

12201203200 has 240 divisors, whose sum is σ = 31625725824. Its totient is φ = 4659609600.

The previous prime is 12201203197. The next prime is 12201203227. The reversal of 12201203200 is 230210221.

12201203200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38489442 + ... + 38489758.

Almost surely, 212201203200 is an apocalyptic number.

12201203200 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 12201203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812862912).

12201203200 is an abundant number, since it is smaller than the sum of its proper divisors (19424522624).

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

12201203200 is an equidigital number, since it uses as much as digits as its factorization.

12201203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12201203200 its reverse (230210221), we get a palindrome (12431413421).

The spelling of 12201203200 in words is "twelve billion, two hundred one million, two hundred three thousand, two hundred".