Base | Representation |
---|---|
bin | 101110001111… |
… | …110001100000 |
3 | 211210220221121 |
4 | 232033301200 |
5 | 11100420412 |
6 | 1111502024 |
7 | 205021462 |
oct | 56176140 |
9 | 24726847 |
10 | 12123232 |
11 | 6930400 |
12 | 4087914 |
13 | 2686114 |
14 | 1878132 |
15 | 10e7107 |
hex | b8fc60 |
12123232 has 72 divisors (see below), whose sum is σ = 27349056. Its totient is φ = 5280000.
The previous prime is 12123217. The next prime is 12123239. The reversal of 12123232 is 23232121.
12123232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
12123232 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is an alternating number because its digits alternate between odd and even.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12123239) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119982 + ... + 120082.
It is an arithmetic number, because the mean of its divisors is an integer number (379848).
Almost surely, 212123232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13674528).
12123232 is an abundant number, since it is smaller than the sum of its proper divisors (15225824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12123232 is a wasteful number, since it uses less digits than its factorization.
12123232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 164 (or 145 counting only the distinct ones).
The product of its digits is 144, while the sum is 16.
The square root of 12123232 is about 3481.8431900360. The cubic root of 12123232 is about 229.7238778392.
Adding to 12123232 its reverse (23232121), we get a palindrome (35355353).
Subtracting 12123232 from its reverse (23232121), we obtain a square (11108889 = 33332).
It can be divided in two parts, 1212 and 3232, that added together give a palindrome (4444).
The spelling of 12123232 in words is "twelve million, one hundred twenty-three thousand, two hundred thirty-two".
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