| Base | Representation |
|---|---|
| bin | 100111011000001… |
| … | …1110110110011000 |
| 3 | 10102002022121220200 |
| 4 | 1032300132312120 |
| 5 | 10201230111440 |
| 6 | 335040422200 |
| 7 | 44513065143 |
| oct | 11660366630 |
| 9 | 3362277820 |
| 10 | 1321332120 |
| 11 | 618948419 |
| 12 | 30a617960 |
| 13 | 180996834 |
| 14 | c76b505a |
| 15 | 7b005c30 |
| hex | 4ec1ed98 |
1321332120 has 192 divisors, whose sum is σ = 4396878720. Its totient is φ = 344051712.
The previous prime is 1321332119. The next prime is 1321332151. The reversal of 1321332120 is 212331231.
1321332120 is a `hidden beast` number, since 1 + 321 + 3 + 321 + 20 = 666.
1321332120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1321332093 and 1321332102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3600177 + ... + 3600543.
It is an arithmetic number, because the mean of its divisors is an integer number (22900410).
Almost surely, 21321332120 is an apocalyptic number.
1321332120 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 1321332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198439360).
1321332120 is an abundant number, since it is smaller than the sum of its proper divisors (3075546600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1321332120 is a wasteful number, since it uses less digits than its factorization.
1321332120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 594 (or 587 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 1321332120 is about 36350.1323243809. The cubic root of 1321332120 is about 1097.3301975596.
Adding to 1321332120 its reverse (212331231), we get a palindrome (1533663351).
The spelling of 1321332120 in words is "one billion, three hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty".
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