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12244044120 = 233571110912157
BaseRepresentation
bin10110110011100110…
…10100100101011000
31011121022022212221120
423121303110211120
5200033433402440
65342544205240
7612263441430
oct133163244530
934538285846
1012244044120
115213497630
122458609820
1312018a0329
148421c72c0
154b9dc9dd0
hex2d9cd4958

12244044120 has 256 divisors, whose sum is σ = 46219852800. Its totient is φ = 2520668160.

The previous prime is 12244044103. The next prime is 12244044121. The reversal of 12244044120 is 2144044221.

12244044120 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244044121) 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 63 ways as a sum of consecutive naturals, for example, 1001082 + ... + 1013238.

It is an arithmetic number, because the mean of its divisors is an integer number (180546300).

Almost surely, 212244044120 is an apocalyptic number.

12244044120 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 12244044120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109926400).

12244044120 is an abundant number, since it is smaller than the sum of its proper divisors (33975808680).

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

12244044120 is a wasteful number, since it uses less digits than its factorization.

12244044120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12298 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12244044120 its reverse (2144044221), we get a palindrome (14388088341).

The spelling of 12244044120 in words is "twelve billion, two hundred forty-four million, forty-four thousand, one hundred twenty".