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12144132 = 223271113337
BaseRepresentation
bin101110010100…
…111000000100
3211211222121200
4232110320010
511102103012
61112142500
7205136430
oct56247004
924758550
1012144132
116945080
124097a30
1326927a0
1418819c0
1510ed3dc
hexb94e04

12144132 has 144 divisors (see below), whose sum is σ = 41338752. Its totient is φ = 2903040.

The previous prime is 12144131. The next prime is 12144151. The reversal of 12144132 is 23144121.

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 not an unprimeable number, because it can be changed into a prime (12144131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35868 + ... + 36204.

Almost surely, 212144132 is an apocalyptic number.

12144132 is a gapful number since it is divisible by the number (12) 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 12144132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20669376).

12144132 is an abundant number, since it is smaller than the sum of its proper divisors (29194620).

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

12144132 is a wasteful number, since it uses less digits than its factorization.

12144132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 373 counting only the distinct ones).

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

The square root of 12144132 is about 3484.8431815506. The cubic root of 12144132 is about 229.8558138509.

Adding to 12144132 its reverse (23144121), we get a palindrome (35288253).

It can be divided in two parts, 121 and 44132, that added together give a triangular number (44253 = T297).

The spelling of 12144132 in words is "twelve million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 337 364 396 429 462 468 546 572 674 693 819 858 924 1001 1011 1092 1287 1348 1386 1638 1716 2002 2022 2359 2574 2772 3003 3033 3276 3707 4004 4044 4381 4718 5148 6006 6066 7077 7414 8762 9009 9436 11121 12012 12132 13143 14154 14828 17524 18018 21231 22242 25949 26286 28308 30667 33363 36036 39429 42462 44484 48191 51898 52572 61334 66726 77847 78858 84924 92001 96382 103796 122668 133452 144573 155694 157716 184002 192764 233541 276003 289146 311388 337337 368004 433719 467082 552006 578292 674674 867438 934164 1012011 1104012 1349348 1734876 2024022 3036033 4048044 6072066 12144132