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12128130 = 235572331
BaseRepresentation
bin101110010000…
…111110000010
3211211011200000
4232100332002
511101100010
61111540430
7205041660
oct56207602
924734600
1012128130
116934053
12408a716
132688411
141879c30
1510e87c0
hexb90f82

12128130 has 192 divisors, whose sum is σ = 40255488. Its totient is φ = 2566080.

The previous prime is 12128117. The next prime is 12128131. The reversal of 12128130 is 3182121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12128131) 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 95 ways as a sum of consecutive naturals, for example, 391215 + ... + 391245.

It is an arithmetic number, because the mean of its divisors is an integer number (209664).

Almost surely, 212128130 is an apocalyptic number.

12128130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12128130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127744).

12128130 is an abundant number, since it is smaller than the sum of its proper divisors (28127358).

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

12128130 is a wasteful number, since it uses less digits than its factorization.

12128130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12128130 is about 3482.5464821019. The cubic root of 12128130 is about 229.7548111760.

The spelling of 12128130 in words is "twelve million, one hundred twenty-eight thousand, one hundred thirty".