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12105144 = 2332168127
BaseRepresentation
bin101110001011…
…010110111000
3211210000010200
4232023112320
511044331034
61111242200
7204614652
oct56132670
924700120
1012105144
116918857
124079360
13267ab0c
1418716d2
1510e1a99
hexb8b5b8

12105144 has 24 divisors (see below), whose sum is σ = 32784960. Its totient is φ = 4035024.

The previous prime is 12105143. The next prime is 12105167. The reversal of 12105144 is 44150121.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×121051442 = 293069022521472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83992 + ... + 84135.

It is an arithmetic number, because the mean of its divisors is an integer number (1366040).

Almost surely, 212105144 is an apocalyptic number.

It is an amenable number.

12105144 is an abundant number, since it is smaller than the sum of its proper divisors (20679816).

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

12105144 is a wasteful number, since it uses less digits than its factorization.

12105144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168139 (or 168132 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12105144 is about 3479.2447456309. The cubic root of 12105144 is about 229.6095707585.

Adding to 12105144 its reverse (44150121), we get a palindrome (56255265).

The spelling of 12105144 in words is "twelve million, one hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 168127 336254 504381 672508 1008762 1345016 1513143 2017524 3026286 4035048 6052572 12105144