| Base | Representation |
|---|---|
| bin | 10110111101111000… |
| … | …11010010111110000 |
| 3 | 1011211022122210212200 |
| 4 | 23132330122113300 |
| 5 | 200223030010300 |
| 6 | 5355305223200 |
| 7 | 614361634662 |
| oct | 133674322760 |
| 9 | 34738583780 |
| 10 | 12330313200 |
| 11 | 525815a897 |
| 12 | 2481491b00 |
| 13 | 121671701a |
| 14 | 84d842532 |
| 15 | 4c276b200 |
| hex | 2def1a5f0 |
12330313200 has 180 divisors, whose sum is σ = 43376695440. Its totient is φ = 3242972160.
The previous prime is 12330313199. The next prime is 12330313201. The reversal of 12330313200 is 231303321.
12330313200 is a `hidden beast` number, since 1 + 2 + 330 + 313 + 20 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (12330313199) and next prime (12330313201).
It is a tau number, because it is divible by the number of its divisors (180).
It is a super-2 number, since 2×123303132002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12330313201) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239341 + ... + 286259.
Almost surely, 212330313200 is an apocalyptic number.
12330313200 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 12330313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21688347720).
12330313200 is an abundant number, since it is smaller than the sum of its proper divisors (31046382240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12330313200 is a wasteful number, since it uses less digits than its factorization.
12330313200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 47016 (or 47002 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 12330313200 its reverse (231303321), we get a palindrome (12561616521).
It can be divided in two parts, 123303 and 13200, that added together give a triangular number (136503 = T522).
The spelling of 12330313200 in words is "twelve billion, three hundred thirty million, three hundred thirteen thousand, two hundred".
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