| Base | Representation |
|---|---|
| bin | 10111101101011001… |
| … | …10110000010011000 |
| 3 | 1012212002122101011000 |
| 4 | 23312230312002120 |
| 5 | 202032043313100 |
| 6 | 5503024105000 |
| 7 | 630301512030 |
| oct | 136654660230 |
| 9 | 35762571130 |
| 10 | 12728885400 |
| 11 | 5442140000 |
| 12 | 2572a65160 |
| 13 | 127b17876a |
| 14 | 88a7548c0 |
| 15 | 4e774b900 |
| hex | 2f6b36098 |
12728885400 has 960 divisors, whose sum is σ = 57514176000. Its totient is φ = 2529964800.
The previous prime is 12728885387. The next prime is 12728885443. The reversal of 12728885400 is 458882721.
It is a happy number.
12728885400 is a `hidden beast` number, since 1 + 2 + 7 + 28 + 88 + 540 + 0 = 666.
12728885400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 239 ways as a sum of consecutive naturals, for example, 553429789 + ... + 553429811.
It is an arithmetic number, because the mean of its divisors is an integer number (59910600).
Almost surely, 212728885400 is an apocalyptic number.
12728885400 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 12728885400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28757088000).
12728885400 is an abundant number, since it is smaller than the sum of its proper divisors (44785290600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12728885400 is a wasteful number, since it uses less digits than its factorization.
12728885400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 99 (or 51 counting only the distinct ones).
The product of its (nonzero) digits is 286720, while the sum is 45.
The spelling of 12728885400 in words is "twelve billion, seven hundred twenty-eight million, eight hundred eighty-five thousand, four hundred".
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