| Base | Representation |
|---|---|
| bin | 10001110011010011001… |
| … | …001001101101100000000 |
| 3 | 11022221120210110022110100 |
| 4 | 101303103021031230000 |
| 5 | 130020321124320000 |
| 6 | 2333552101402400 |
| 7 | 154244560644636 |
| oct | 21632311155400 |
| 9 | 4287523408410 |
| 10 | 1223313120000 |
| 11 | 431893401214 |
| 12 | 179105109400 |
| 13 | 8b4864b967a |
| 14 | 432cc843356 |
| 15 | 21c4b74ba00 |
| hex | 11cd324db00 |
1223313120000 has 270 divisors, whose sum is σ = 4407485974892. Its totient is φ = 326216448000.
The previous prime is 1223313119983. The next prime is 1223313120017. The reversal of 1223313120000 is 213133221.
1223313120000 is a `hidden beast` number, since 1 + 22 + 331 + 312 + 0 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1223313119983) and next prime (1223313120017).
It is a Harshad number since it is a multiple of its sum of digits (18).
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 29 ways as a sum of consecutive naturals, for example, 1015239 + ... + 1864761.
Almost surely, 21223313120000 is an apocalyptic number.
1223313120000 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 1223313120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203742987446).
1223313120000 is an abundant number, since it is smaller than the sum of its proper divisors (3184172854892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223313120000 is an frugal number, since it uses more digits than its factorization.
1223313120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 849565 (or 849533 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 1223313120000 its reverse (213133221), we get a palindrome (1223526253221).
It can be divided in two parts, 122331 and 3120000, that added together give a triangular number (3242331 = T2546).
The spelling of 1223313120000 in words is "one trillion, two hundred twenty-three billion, three hundred thirteen million, one hundred twenty thousand".
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