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12144 = 2431123
BaseRepresentation
bin10111101110000
3121122210
42331300
5342034
6132120
750256
oct27560
917583
1012144
119140
127040
1356b2
1445d6
1538e9
hex2f70

12144 has 40 divisors (see below), whose sum is σ = 35712. Its totient is φ = 3520.

The previous prime is 12143. The next prime is 12149. The reversal of 12144 is 44121.

Adding to 12144 its reverse (44121), we get a palindrome (56265).

It can be divided in two parts, 12 and 144, that multiplied together give a cube (1728 = 123).

12144 = 112 + 122 + ... + 332.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12144.

It is not an unprimeable number, because it can be changed into a prime (12143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517 + ... + 539.

212144 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 12144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856).

12144 is an abundant number, since it is smaller than the sum of its proper divisors (23568).

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

12144 is a wasteful number, since it uses less digits than its factorization.

12144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 39 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 12144 is about 110.1998185116. The cubic root of 12144 is about 22.9854981046.

The spelling of 12144 in words is "twelve thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144