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12130000 = 24541213
BaseRepresentation
bin101110010001…
…011011010000
3211211021020021
4232101123100
511101130000
61111553224
7205050301
oct56213320
924737207
1012130000
1169354a3
12408b814
13268921c
14187a7a8
1510e911a
hexb916d0

12130000 has 50 divisors (see below), whose sum is σ = 29392154. Its totient is φ = 4848000.

The previous prime is 12129991. The next prime is 12130003. The reversal of 12130000 is 3121.

It can be written as a sum of positive squares in 5 ways, for example, as 8225424 + 3904576 = 2868^2 + 1976^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9394 + ... + 10606.

Almost surely, 212130000 is an apocalyptic number.

12130000 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 12130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696077).

12130000 is an abundant number, since it is smaller than the sum of its proper divisors (17262154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12130000 is an equidigital number, since it uses as much as digits as its factorization.

12130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 12130000 is about 3482.8149534536. The cubic root of 12130000 is about 229.7666189709.

Adding to 12130000 its reverse (3121), we get a palindrome (12133121).

The spelling of 12130000 in words is "twelve million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1213 1250 2000 2426 2500 4852 5000 6065 9704 10000 12130 19408 24260 30325 48520 60650 97040 121300 151625 242600 303250 485200 606500 758125 1213000 1516250 2426000 3032500 6065000 12130000