| Base | Representation |
|---|---|
| bin | 10110111010011011… |
| … | …01101011100000000 |
| 3 | 1011202022001110002000 |
| 4 | 23131031231130000 |
| 5 | 200143112341222 |
| 6 | 5352351224000 |
| 7 | 613560160620 |
| oct | 133515553400 |
| 9 | 34668043060 |
| 10 | 12301293312 |
| 11 | 5242839810 |
| 12 | 2473818000 |
| 13 | 12106c61a9 |
| 14 | 849a4a880 |
| 15 | 4bee379ac |
| hex | 2dd36d700 |
12301293312 has 576 divisors, whose sum is σ = 46976025600. Its totient is φ = 3081093120.
The previous prime is 12301293293. The next prime is 12301293317. The reversal of 12301293312 is 21339210321.
12301293312 is a `hidden beast` number, since 1 + 2 + 301 + 29 + 331 + 2 = 666.
12301293312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12301293317) 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, 15434098 + ... + 15434894.
It is an arithmetic number, because the mean of its divisors is an integer number (81555600).
Almost surely, 212301293312 is an apocalyptic number.
12301293312 is a gapful number since it is divisible by the number (12) 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 12301293312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23488012800).
12301293312 is an abundant number, since it is smaller than the sum of its proper divisors (34674732288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12301293312 is a wasteful number, since it uses less digits than its factorization.
12301293312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 869 (or 849 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 27.
The spelling of 12301293312 in words is "twelve billion, three hundred one million, two hundred ninety-three thousand, three hundred twelve".
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