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12081168 = 24321129263
BaseRepresentation
bin101110000101…
…100000010000
3211201210020200
4232011200100
511043044133
61110535200
7204455031
oct56054020
924653220
1012081168
116901840
124067500
13266cc28
141866a88
1510d9913
hexb85810

12081168 has 120 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 3521280.

The previous prime is 12081163. The next prime is 12081193. The reversal of 12081168 is 86118021.

It is not an unprimeable number, because it can be changed into a prime (12081161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45805 + ... + 46067.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 212081168 is an apocalyptic number.

12081168 is a gapful number since it is divisible by the number (18) 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 12081168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

12081168 is an abundant number, since it is smaller than the sum of its proper divisors (26219952).

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

12081168 is a wasteful number, since it uses less digits than its factorization.

12081168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 12081168 is about 3475.7974624538. The cubic root of 12081168 is about 229.4578788376.

Adding to 12081168 its reverse (86118021), we get a palindrome (98199189).

The spelling of 12081168 in words is "twelve million, eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 263 264 319 348 396 464 522 526 528 638 696 789 792 957 1044 1052 1276 1392 1578 1584 1914 2088 2104 2367 2552 2871 2893 3156 3828 4176 4208 4734 5104 5742 5786 6312 7627 7656 8679 9468 11484 11572 12624 15254 15312 17358 18936 22881 22968 23144 26037 30508 34716 37872 45762 45936 46288 52074 61016 68643 69432 83897 91524 104148 122032 137286 138864 167794 183048 208296 251691 274572 335588 366096 416592 503382 549144 671176 755073 1006764 1098288 1342352 1510146 2013528 3020292 4027056 6040584 12081168