Base | Representation |
---|---|
bin | 101110001100… |
… | …110100011100 |
3 | 211210022100110 |
4 | 232030310130 |
5 | 11100024012 |
6 | 1111330020 |
7 | 204641265 |
oct | 56146434 |
9 | 24708313 |
10 | 12111132 |
11 | 6922300 |
12 | 4080910 |
13 | 2680767 |
14 | 187396c |
15 | 10e373c |
hex | b8cd1c |
12111132 has 72 divisors (see below), whose sum is σ = 32771200. Its totient is φ = 3468960.
The previous prime is 12111103. The next prime is 12111139. The reversal of 12111132 is 23111121.
12111132 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 nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12111139) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27369 + ... + 27807.
Almost surely, 212111132 is an apocalyptic number.
12111132 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 12111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385600).
12111132 is an abundant number, since it is smaller than the sum of its proper divisors (20660068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12111132 is a wasteful number, since it uses less digits than its factorization.
12111132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 487 (or 474 counting only the distinct ones).
The product of its digits is 12, while the sum is 12.
The square root of 12111132 is about 3480.1051708246. The cubic root of 12111132 is about 229.6474245135.
Adding to 12111132 its reverse (23111121), we get a palindrome (35222253).
The spelling of 12111132 in words is "twelve million, one hundred eleven thousand, one hundred thirty-two".
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