Base | Representation |
---|---|
bin | 101101110001… |
… | …111101100000 |
3 | 211120201102221 |
4 | 231301331200 |
5 | 11033013440 |
6 | 1105120424 |
7 | 204002455 |
oct | 55617540 |
9 | 24521387 |
10 | 12001120 |
11 | 685768a |
12 | 4029114 |
13 | 2642671 |
14 | 184582c |
15 | 10c0d4a |
hex | b71f60 |
12001120 has 48 divisors (see below), whose sum is σ = 28658448. Its totient is φ = 4748800.
The previous prime is 12001117. The next prime is 12001139. The reversal of 12001120 is 2110021.
It is a congruent number.
It is an unprimeable number.
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, 16770 + ... + 17470.
It is an arithmetic number, because the mean of its divisors is an integer number (597051).
Almost surely, 212001120 is an apocalyptic number.
12001120 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 12001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14329224).
12001120 is an abundant number, since it is smaller than the sum of its proper divisors (16657328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12001120 is a wasteful number, since it uses less digits than its factorization.
12001120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 823 (or 815 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 7.
The square root of 12001120 is about 3464.2632694413. The cubic root of 12001120 is about 228.9499709555.
Adding to 12001120 its reverse (2110021), we get a palindrome (14111141).
It can be divided in two parts, 12001 and 120, that added together give a palindrome (12121).
The spelling of 12001120 in words is "twelve million, one thousand, one hundred twenty".
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