Base | Representation |
---|---|
bin | 101101110111… |
… | …010101010000 |
3 | 211121211121202 |
4 | 231313111100 |
5 | 11034214440 |
6 | 1105410332 |
7 | 204123554 |
oct | 55672520 |
9 | 24554552 |
10 | 12023120 |
11 | 687216a |
12 | 40399a8 |
13 | 264c695 |
14 | 184d864 |
15 | 10c7615 |
hex | b77550 |
12023120 has 40 divisors (see below), whose sum is σ = 28183464. Its totient is φ = 4769792.
The previous prime is 12023119. The next prime is 12023153. The reversal of 12023120 is 2132021.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 760384 + 11262736 = 872^2 + 3356^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a nialpdrome in base 16.
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, 10412 + ... + 11508.
Almost surely, 212023120 is an apocalyptic number.
12023120 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 12023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14091732).
12023120 is an abundant number, since it is smaller than the sum of its proper divisors (16160344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12023120 is a wasteful number, since it uses less digits than its factorization.
12023120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1247 (or 1241 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 12023120 is about 3467.4370938778. The cubic root of 12023120 is about 229.0897863692.
Adding to 12023120 its reverse (2132021), we get a palindrome (14155141).
The spelling of 12023120 in words is "twelve million, twenty-three thousand, one hundred twenty".
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