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12132342444 = 22329283123191
BaseRepresentation
bin10110100110010010…
…01101101010101100
31011022112010212001110
423103021031222230
5144321334424234
65323514112020
7606436131525
oct132311155254
934275125043
1012132342444
1151664334a2
12242711b610
1311b46c0571
1483142b84c
154b01b31e9
hex2d324daac

12132342444 has 48 divisors (see below), whose sum is σ = 29388683520. Its totient is φ = 3890832960.

The previous prime is 12132342437. The next prime is 12132342493. The reversal of 12132342444 is 44424323121.

12132342444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 36889 + ... + 160079.

It is an arithmetic number, because the mean of its divisors is an integer number (612264240).

Almost surely, 212132342444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132342444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694341760).

12132342444 is an abundant number, since it is smaller than the sum of its proper divisors (17256341076).

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

12132342444 is a wasteful number, since it uses less digits than its factorization.

12132342444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123510 (or 123508 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 12132342444 its reverse (44424323121), we get a palindrome (56556665565).

The spelling of 12132342444 in words is "twelve billion, one hundred thirty-two million, three hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 283 348 566 849 1132 1698 3396 8207 16414 24621 32828 49242 98484 123191 246382 369573 492764 739146 1478292 3572539 7145078 10717617 14290156 21435234 34863053 42870468 69726106 104589159 139452212 209178318 418356636 1011028537 2022057074 3033085611 4044114148 6066171222 12132342444