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12144233312 = 252361833259
BaseRepresentation
bin10110100111101101…
…00100101101100000
31011100100111222020222
423103312210231200
5144332410431222
65325021022212
7606642165011
oct132366445540
934310458228
1012144233312
115172115262
12242b0b4968
1311b6cc4993
14832c45008
154b1261542
hex2d3da4b60

12144233312 has 96 divisors (see below), whose sum is σ = 25670856960. Its totient is φ = 5642334720.

The previous prime is 12144233293. The next prime is 12144233327. The reversal of 12144233312 is 21333244121.

12144233312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3724739 + ... + 3727997.

It is an arithmetic number, because the mean of its divisors is an integer number (267404760).

Almost surely, 212144233312 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 12144233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12835428480).

12144233312 is an abundant number, since it is smaller than the sum of its proper divisors (13526623648).

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

12144233312 is a wasteful number, since it uses less digits than its factorization.

12144233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3428 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

Adding to 12144233312 its reverse (21333244121), we get a palindrome (33477477433).

The spelling of 12144233312 in words is "twelve billion, one hundred forty-four million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 61 83 92 122 166 184 244 332 368 488 664 736 976 1328 1403 1909 1952 2656 2806 3259 3818 5063 5612 6518 7636 10126 11224 13036 15272 20252 22448 26072 30544 40504 44896 52144 61088 74957 81008 104288 116449 149914 162016 198799 232898 270497 299828 397598 465796 540994 599656 795196 931592 1081988 1199312 1590392 1863184 2163976 2398624 3180784 3726368 4327952 4572377 6221431 6361568 8655904 9144754 12442862 16500317 18289508 24885724 33000634 36579016 49771448 66001268 73158032 99542896 132002536 146316064 199085792 264005072 379507291 528010144 759014582 1518029164 3036058328 6072116656 12144233312