Base | Representation |
---|---|
bin | 101101110100… |
… | …101001100100 |
3 | 211121021112210 |
4 | 231310221210 |
5 | 11033342012 |
6 | 1105243420 |
7 | 204046536 |
oct | 55645144 |
9 | 24537483 |
10 | 12012132 |
11 | 6864990 |
12 | 4033570 |
13 | 2647692 |
14 | 1849856 |
15 | 10c423c |
hex | b74a64 |
12012132 has 96 divisors (see below), whose sum is σ = 33312384. Its totient is φ = 3328000.
The previous prime is 12012131. The next prime is 12012137. The reversal of 12012132 is 23121021.
Added to its reverse (23121021) it gives a triangular number (35133153 = T8382).
12012132 is digitally balanced in base 2, 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 (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12012131) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118882 + ... + 118982.
It is an arithmetic number, because the mean of its divisors is an integer number (347004).
Almost surely, 212012132 is an apocalyptic number.
12012132 is a gapful number since it is divisible by the number (12) 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 12012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656192).
12012132 is an abundant number, since it is smaller than the sum of its proper divisors (21300252).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12012132 is a wasteful number, since it uses less digits than its factorization.
12012132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 189 (or 187 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 12012132 is about 3465.8522761364. The cubic root of 12012132 is about 229.0199762644.
Adding to 12012132 its reverse (23121021), we get a palindrome (35133153).
Subtracting 12012132 from its reverse (23121021), we obtain a square (11108889 = 33332).
It can be divided in two parts, 1201 and 2132, that added together give a palindrome (3333).
The spelling of 12012132 in words is "twelve million, twelve thousand, one hundred thirty-two".
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