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12130008 = 2331124177
BaseRepresentation
bin101110010001…
…011011011000
3211211021020120
4232101123120
511101130013
61111553240
7205050312
oct56213330
924737216
1012130008
116935500
12408b820
132689227
14187a7b2
1510e9123
hexb916d8

12130008 has 48 divisors (see below), whose sum is σ = 33340440. Its totient is φ = 3674880.

The previous prime is 12130007. The next prime is 12130049. The reversal of 12130008 is 80003121.

It is a happy number.

12130008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 816 + ... + 4992.

Almost surely, 212130008 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 12130008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16670220).

12130008 is an abundant number, since it is smaller than the sum of its proper divisors (21210432).

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

12130008 is a wasteful number, since it uses less digits than its factorization.

12130008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12130008 is about 3482.8161019497. The cubic root of 12130008 is about 229.7666694829.

Adding to 12130008 its reverse (80003121), we get a palindrome (92133129).

The spelling of 12130008 in words is "twelve million, one hundred thirty thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 4177 8354 12531 16708 25062 33416 45947 50124 91894 100248 137841 183788 275682 367576 505417 551364 1010834 1102728 1516251 2021668 3032502 4043336 6065004 12130008