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12031210112 = 273143107659
BaseRepresentation
bin10110011010001110…
…11011001010000000
31011001110211210120112
423031013123022000
5144114442210422
65305502330452
7604100412215
oct131507331200
934043753515
1012031210112
115114339259
1223b9289a28
13119977154c
14821c23b0c
154a6387ee2
hex2cd1db280

12031210112 has 128 divisors (see below), whose sum is σ = 25592371200. Its totient is φ = 5624478720.

The previous prime is 12031210111. The next prime is 12031210129. The reversal of 12031210112 is 21101213021.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12031210111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18256439 + ... + 18257097.

It is an arithmetic number, because the mean of its divisors is an integer number (199940400).

Almost surely, 212031210112 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 12031210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796185600).

12031210112 is an abundant number, since it is smaller than the sum of its proper divisors (13561161088).

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

12031210112 is a wasteful number, since it uses less digits than its factorization.

12031210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12031210112 its reverse (21101213021), we get a palindrome (33132423133).

The spelling of 12031210112 in words is "twelve billion, thirty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 107 124 128 172 214 248 344 428 496 659 688 856 992 1318 1333 1376 1712 1984 2636 2666 2752 3317 3424 3968 4601 5272 5332 5504 6634 6848 9202 10544 10664 13268 13696 18404 20429 21088 21328 26536 28337 36808 40858 42176 42656 53072 56674 70513 73616 81716 84352 85312 106144 113348 141026 142631 147232 163432 170624 212288 226696 282052 285262 294464 326864 424576 453392 564104 570524 588928 653728 878447 906784 1128208 1141048 1307456 1756894 1813568 2185903 2256416 2282096 2614912 3032059 3513788 3627136 4371806 4512832 4564192 6064118 7027576 8743612 9025664 9128384 12128236 14055152 17487224 18256768 24256472 28110304 34974448 48512944 56220608 69948896 93993829 97025888 112441216 139897792 187987658 194051776 279795584 375975316 388103552 751950632 1503901264 3007802528 6015605056 12031210112