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12134124 = 2234172203
BaseRepresentation
bin101110010010…
…011011101100
3211211110220000
4232102123230
511101242444
61112024300
7205065312
oct56223354
924743800
1012134124
116938602
124092090
13268b072
14187c0b2
1510ea469
hexb926ec

12134124 has 60 divisors (see below), whose sum is σ = 33602184. Its totient is φ = 3805056.

The previous prime is 12134119. The next prime is 12134147. The reversal of 12134124 is 42143121.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12134097 and 12134106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4407 + ... + 6609.

Almost surely, 212134124 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 12134124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16801092).

12134124 is an abundant number, since it is smaller than the sum of its proper divisors (21468060).

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

12134124 is a wasteful number, since it uses less digits than its factorization.

12134124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2225 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12134124 is about 3483.4069529700. The cubic root of 12134124 is about 229.7926549746.

Adding to 12134124 its reverse (42143121), we get a palindrome (54277245).

The spelling of 12134124 in words is "twelve million, one hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2203 2754 4406 5508 6609 8812 13218 19827 26436 37451 39654 59481 74902 79308 112353 118962 149804 178443 224706 237924 337059 356886 449412 674118 713772 1011177 1348236 2022354 3033531 4044708 6067062 12134124