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12122432244 = 2233138634211
BaseRepresentation
bin10110100101000110…
…11010001011110100
31011021211111100211000
423102203122023310
5144311320312434
65322521443300
7606255655026
oct132243321364
934254440730
1012122432244
11516088484a
122423940530
1311b2630840
1482ddac016
154ae3a6b99
hex2d28da2f4

12122432244 has 48 divisors (see below), whose sum is σ = 33846111040. Its totient is φ = 3729978720.

The previous prime is 12122432207. The next prime is 12122432249. The reversal of 12122432244 is 44223422121.

It is a happy number.

12122432244 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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122432249) 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 15 ways as a sum of consecutive naturals, for example, 4315702 + ... + 4318509.

Almost surely, 212122432244 is an apocalyptic number.

It is an amenable number.

12122432244 is an abundant number, since it is smaller than the sum of its proper divisors (21723678796).

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

12122432244 is a wasteful number, since it uses less digits than its factorization.

12122432244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634237 (or 8634229 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 12122432244 its reverse (44223422121), we get a palindrome (56345854365).

The spelling of 12122432244 in words is "twelve billion, one hundred twenty-two million, four hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 8634211 17268422 25902633 34536844 51805266 77707899 103610532 112244743 155415798 224489486 233123697 310831596 336734229 448978972 466247394 673468458 932494788 1010202687 1346936916 2020405374 3030608061 4040810748 6061216122 12122432244