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12036430224 = 2434713102059
BaseRepresentation
bin10110011010110110…
…10101100110010000
31011001211200000020000
423031123111212100
5144122311231344
65310210250000
7604162653210
oct131533254620
934054600200
1012036430224
1151172841a5
1223bab86900
13119a87b580
148227c2240
154a6a69a69
hex2cd6d5990

12036430224 has 200 divisors, whose sum is σ = 42876630720. Its totient is φ = 3174412032.

The previous prime is 12036430201. The next prime is 12036430243. The reversal of 12036430224 is 42203463021.

12036430224 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 6 + 430 + 224 = 666.

12036430224 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 (27).

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 39 ways as a sum of consecutive naturals, for example, 66907 + ... + 168965.

Almost surely, 212036430224 is an apocalyptic number.

12036430224 is a gapful number since it is divisible by the number (14) 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 12036430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21438315360).

12036430224 is an abundant number, since it is smaller than the sum of its proper divisors (30840200496).

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

12036430224 is a wasteful number, since it uses less digits than its factorization.

12036430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102099 (or 102084 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12036430224 its reverse (42203463021), we get a palindrome (54239893245).

The spelling of 12036430224 in words is "twelve billion, thirty-six million, four hundred thirty thousand, two hundred twenty-four".