| Base | Representation |
|---|---|
| bin | 10111001011011110… |
| … | …10100101001100000 |
| 3 | 1012010021012002002122 |
| 4 | 23211233110221200 |
| 5 | 200441221304100 |
| 6 | 5414501003412 |
| 7 | 620244665216 |
| oct | 134557245140 |
| 9 | 35107162078 |
| 10 | 12444322400 |
| 11 | 530654a674 |
| 12 | 24b36b3568 |
| 13 | 12342241a3 |
| 14 | 860a3ccb6 |
| 15 | 4cc78b985 |
| hex | 2e5bd4a60 |
12444322400 has 72 divisors (see below), whose sum is σ = 30573511920. Its totient is φ = 4945973760.
The previous prime is 12444322393. The next prime is 12444322417. The reversal of 12444322400 is 422344421.
It is a happy number.
12444322400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×124443224002 (a number of 21 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 12444322400.
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 11 ways as a sum of consecutive naturals, for example, 76061 + ... + 175139.
It is an arithmetic number, because the mean of its divisors is an integer number (424632110).
Almost surely, 212444322400 is an apocalyptic number.
12444322400 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 12444322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15286755960).
12444322400 is an abundant number, since it is smaller than the sum of its proper divisors (18129189520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12444322400 is a wasteful number, since it uses less digits than its factorization.
12444322400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 99256 (or 99243 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 26.
Adding to 12444322400 its reverse (422344421), we get a palindrome (12866666821).
The spelling of 12444322400 in words is "twelve billion, four hundred forty-four million, three hundred twenty-two thousand, four hundred".
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