| Base | Representation |
|---|---|
| bin | 100100011000110… |
| … | …1111110010000000 |
| 3 | 10011002112020120002 |
| 4 | 1020301233302000 |
| 5 | 10000034002240 |
| 6 | 321054135132 |
| 7 | 42154221461 |
| oct | 11061576200 |
| 9 | 3132466502 |
| 10 | 1221000320 |
| 11 | 57724a681 |
| 12 | 2a0ab14a8 |
| 13 | 165c67cc7 |
| 14 | b8238d68 |
| 15 | 722d7d15 |
| hex | 48c6fc80 |
1221000320 has 64 divisors (see below), whose sum is σ = 2933928000. Its totient is φ = 485895168.
The previous prime is 1221000283. The next prime is 1221000323. The reversal of 1221000320 is 230001221.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (1221000323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122567 + ... + 132153.
It is an arithmetic number, because the mean of its divisors is an integer number (45842625).
Almost surely, 21221000320 is an apocalyptic number.
1221000320 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 1221000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466964000).
1221000320 is an abundant number, since it is smaller than the sum of its proper divisors (1712927680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1221000320 is an equidigital number, since it uses as much as digits as its factorization.
1221000320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9805 (or 9793 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 1221000320 is about 34942.8149982225. The cubic root of 1221000320 is about 1068.8216918040.
Adding to 1221000320 its reverse (230001221), we get a palindrome (1451001541).
Subtracting from 1221000320 its reverse (230001221), we obtain a palindrome (990999099).
The spelling of 1221000320 in words is "one billion, two hundred twenty-one million, three hundred twenty", and thus it is an aban number.
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