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12130880 = 265167227
BaseRepresentation
bin101110010001…
…101001000000
3211211022102212
4232101221000
511101142010
61112001252
7205052666
oct56215100
924738385
1012130880
116936123
124090228
132689748
14187ac36
1510e9505
hexb91a40

12130880 has 56 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 4802048.

The previous prime is 12130879. The next prime is 12130901. The reversal of 12130880 is 8803121.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53327 + ... + 53553.

It is an arithmetic number, because the mean of its divisors is an integer number (521208).

Almost surely, 212130880 is an apocalyptic number.

12130880 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 12130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

12130880 is an abundant number, since it is smaller than the sum of its proper divisors (17056768).

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

12130880 is a wasteful number, since it uses less digits than its factorization.

12130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 12130880 is about 3482.9412857526. The cubic root of 12130880 is about 229.7721751604.

The spelling of 12130880 in words is "twelve million, one hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 167 227 320 334 454 668 835 908 1135 1336 1670 1816 2270 2672 3340 3632 4540 5344 6680 7264 9080 10688 13360 14528 18160 26720 36320 37909 53440 72640 75818 151636 189545 303272 379090 606544 758180 1213088 1516360 2426176 3032720 6065440 12130880