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12011168 = 251322221
BaseRepresentation
bin101101110100…
…011010100000
3211121020020002
4231310122200
511033324133
61105235132
7204043661
oct55643240
924536202
1012011168
116864194
124032aa8
132647100
141849368
1510c3ce8
hexb746a0

12011168 has 36 divisors (see below), whose sum is σ = 25617438. Its totient is φ = 5541120.

The previous prime is 12011149. The next prime is 12011171. The reversal of 12011168 is 86111021.

It can be written as a sum of positive squares in 3 ways, for example, as 7118224 + 4892944 = 2668^2 + 2212^2 .

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 5 ways as a sum of consecutive naturals, for example, 4298 + ... + 6518.

Almost surely, 212011168 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 12011168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12808719).

12011168 is an abundant number, since it is smaller than the sum of its proper divisors (13606270).

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

12011168 is a wasteful number, since it uses less digits than its factorization.

12011168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 12011168 is about 3465.7132022139. The cubic root of 12011168 is about 229.0138496483.

Adding to 12011168 its reverse (86111021), we get a palindrome (98122189).

The spelling of 12011168 in words is "twelve million, eleven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2221 2704 4442 5408 8884 17768 28873 35536 57746 71072 115492 230984 375349 461968 750698 923936 1501396 3002792 6005584 12011168