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12144312 = 2332315441
BaseRepresentation
bin101110010100…
…111010111000
3211211222212100
4232110322320
511102104222
61112143400
7205140105
oct56247270
924758770
1012144312
116945224
124097b60
1326928ab
141881aac
1510ed4ac
hexb94eb8

12144312 has 48 divisors (see below), whose sum is σ = 33958080. Its totient is φ = 3916800.

The previous prime is 12144289. The next prime is 12144313. The reversal of 12144312 is 21344121.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144313) 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 11 ways as a sum of consecutive naturals, for example, 489 + ... + 4952.

It is an arithmetic number, because the mean of its divisors is an integer number (707460).

Almost surely, 212144312 is an apocalyptic number.

12144312 is a gapful number since it is divisible by the number (12) 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 12144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16979040).

12144312 is an abundant number, since it is smaller than the sum of its proper divisors (21813768).

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

12144312 is a wasteful number, since it uses less digits than its factorization.

12144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5477 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12144312 is about 3484.8690075812. The cubic root of 12144312 is about 229.8569494842.

Adding to 12144312 its reverse (21344121), we get a palindrome (33488433).

The spelling of 12144312 in words is "twelve million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5441 10882 16323 21764 32646 43528 48969 65292 97938 130584 168671 195876 337342 391752 506013 674684 1012026 1349368 1518039 2024052 3036078 4048104 6072156 12144312