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12131168 = 257311747
BaseRepresentation
bin101110010001…
…101101100000
3211211022211112
4232101231200
511101144133
61112002452
7205053560
oct56215540
924738745
1012131168
116936365
124090428
13268990a
14187ada0
1510e9648
hexb91b60

12131168 has 48 divisors (see below), whose sum is σ = 28191744. Its totient is φ = 5028480.

The previous prime is 12131159. The next prime is 12131173. The reversal of 12131168 is 86113121.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6071 + ... + 7817.

It is an arithmetic number, because the mean of its divisors is an integer number (587328).

Almost surely, 212131168 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 12131168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14095872).

12131168 is an abundant number, since it is smaller than the sum of its proper divisors (16060576).

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

12131168 is a wasteful number, since it uses less digits than its factorization.

12131168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1787 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 12131168 is about 3482.9826298734. The cubic root of 12131168 is about 229.7739934913.

Adding to 12131168 its reverse (86113121), we get a palindrome (98244289).

The spelling of 12131168 in words is "twelve million, one hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 1747 3472 3494 6944 6988 12229 13976 24458 27952 48916 54157 55904 97832 108314 195664 216628 379099 391328 433256 758198 866512 1516396 1733024 3032792 6065584 12131168