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12012123240444 = 223173591583103613
BaseRepresentation
bin1010111011001100101001…
…0101101011011111111100
31120112100101112002112020210
42232303022111223133330
53033301312022143234
641314143201112420
72346563416604565
oct256631225533774
946470345075223
1012012123240444
113911349460888
121420043928710
1369197a244242
142d7565b1b16c
1515c6e23d6be9
hexaecca56b7fc

12012123240444 has 96 divisors (see below), whose sum is σ = 29778763069440. Its totient is φ = 3755601783808.

The previous prime is 12012123240437. The next prime is 12012123240589. The reversal of 12012123240444 is 44404232121021.

It is a super-2 number, since 2×120121232404442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115880782 + ... + 115984394.

It is an arithmetic number, because the mean of its divisors is an integer number (310195448640).

Almost surely, 212012123240444 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 12012123240444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14889381534720).

12012123240444 is an abundant number, since it is smaller than the sum of its proper divisors (17766639828996).

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

12012123240444 is a wasteful number, since it uses less digits than its factorization.

12012123240444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105579 (or 105577 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12012123240444 its reverse (44404232121021), we get a palindrome (56416355361465).

The spelling of 12012123240444 in words is "twelve trillion, twelve billion, one hundred twenty-three million, two hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 359 718 1077 1436 1583 2154 3166 4308 4749 6103 6332 9498 12206 18309 18996 24412 26911 36618 53822 73236 80733 103613 107644 161466 207226 310839 322932 414452 568297 621678 1136594 1243356 1704891 1761421 2273188 3409782 3522842 5284263 6819564 7045684 9661049 10568526 19322098 21137052 28983147 37197067 38644196 57966294 74394134 111591201 115932588 148788268 164019379 223182402 328038758 446364804 492058137 632350139 656077516 984116274 1264700278 1897050417 1968232548 2529400556 2788329443 3794100834 5576658886 7588201668 8364988329 11153317772 16729976658 33459953316 58882957061 117765914122 176648871183 235531828244 353297742366 706595484732 1001010270037 2002020540074 3003030810111 4004041080148 6006061620222 12012123240444