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12026124 = 22331153191
BaseRepresentation
bin101101111000…
…000100001100
3211121222202000
4231320010030
511034313444
61105432300
7204135405
oct55700414
924558660
1012026124
116874450
12403b690
132650b66
1418509ac
1510c8469
hexb7810c

12026124 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3556800.

The previous prime is 12026117. The next prime is 12026129. The reversal of 12026124 is 42162021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12026097 and 12026106.

It is not an unprimeable number, because it can be changed into a prime (12026129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62869 + ... + 63059.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 212026124 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 12026124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

12026124 is an abundant number, since it is smaller than the sum of its proper divisors (22810356).

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

12026124 is a wasteful number, since it uses less digits than its factorization.

12026124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

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

The square root of 12026124 is about 3467.8702397870. The cubic root of 12026124 is about 229.1088642905.

Adding to 12026124 its reverse (42162021), we get a palindrome (54188145).

It can be divided in two parts, 120 and 26124, that added together give a square (26244 = 1622).

The spelling of 12026124 in words is "twelve million, twenty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 99 106 108 132 159 191 198 212 297 318 382 396 477 573 583 594 636 764 954 1146 1166 1188 1431 1719 1749 1908 2101 2292 2332 2862 3438 3498 4202 5157 5247 5724 6303 6876 6996 8404 10123 10314 10494 12606 15741 18909 20246 20628 20988 25212 30369 31482 37818 40492 56727 60738 62964 75636 91107 111353 113454 121476 182214 222706 226908 273321 334059 364428 445412 546642 668118 1002177 1093284 1336236 2004354 3006531 4008708 6013062 12026124