| Base | Representation |
|---|---|
| bin | 101101111001… |
| … | …110001100000 |
| 3 | 211122100100010 |
| 4 | 231321301200 |
| 5 | 11040024440 |
| 6 | 1105524520 |
| 7 | 204164661 |
| oct | 55716140 |
| 9 | 24570303 |
| 10 | 12033120 |
| 11 | 6879730 |
| 12 | 4043740 |
| 13 | 26540b8 |
| 14 | 1853368 |
| 15 | 10ca580 |
| hex | b79c60 |
12033120 has 192 divisors, whose sum is σ = 43110144. Its totient is φ = 2795520.
The previous prime is 12033107. The next prime is 12033167. The reversal of 12033120 is 2133021.
12033120 = 112 + 122 + ... + 3302.
It is a happy number.
12033120 is digitally balanced in base 2 and base 4, because in such bases 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 (12).
It is a junction number, because it is equal to n+sod(n) for n = 12033096 and 12033105.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227014 + ... + 227066.
It is an arithmetic number, because the mean of its divisors is an integer number (224532).
Almost surely, 212033120 is an apocalyptic number.
12033120 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 12033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555072).
12033120 is an abundant number, since it is smaller than the sum of its proper divisors (31077024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12033120 is a wasteful number, since it uses less digits than its factorization.
12033120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 125 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 12033120 is about 3468.8787813932. The cubic root of 12033120 is about 229.1532824506.
Adding to 12033120 its reverse (2133021), we get a palindrome (14166141).
Subtracting from 12033120 its reverse (2133021), we obtain a palindrome (9900099).
The spelling of 12033120 in words is "twelve million, thirty-three thousand, one hundred twenty".
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