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12132010044 = 223271141106747
BaseRepresentation
bin10110100110001111…
…11100100000111100
31011022111111222002100
423103013330200330
5144321243310134
65323503025100
7606433245450
oct132307744074
934274458070
1012132010044
115166226790
122426b9b190
1311b460518b
14831382660
154b0149999
hex2d31fc83c

12132010044 has 144 divisors (see below), whose sum is σ = 39167122176. Its totient is φ = 3074284800.

The previous prime is 12132009983. The next prime is 12132010063. The reversal of 12132010044 is 44001023121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12132009999 and 12132010026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60279 + ... + 167025.

It is an arithmetic number, because the mean of its divisors is an integer number (271993904).

Almost surely, 212132010044 is an apocalyptic number.

12132010044 is a gapful number since it is divisible by the number (14) 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 12132010044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19583561088).

12132010044 is an abundant number, since it is smaller than the sum of its proper divisors (27035112132).

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

12132010044 is a wasteful number, since it uses less digits than its factorization.

12132010044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106816 (or 106811 counting only the distinct ones).

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

Adding to 12132010044 its reverse (44001023121), we get a palindrome (56133033165).

The spelling of 12132010044 in words is "twelve billion, one hundred thirty-two million, ten thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 451 462 492 574 693 738 861 902 924 1148 1353 1386 1476 1722 1804 2583 2706 2772 3157 3444 4059 5166 5412 6314 8118 9471 10332 12628 16236 18942 28413 37884 56826 106747 113652 213494 320241 426988 640482 747229 960723 1174217 1280964 1494458 1921446 2241687 2348434 2988916 3522651 3842892 4376627 4483374 4696868 6725061 7045302 8219519 8753254 8966748 10567953 13129881 13450122 14090604 16439038 17506508 21135906 24658557 26259762 26900244 30636389 32878076 39389643 42271812 48142897 49317114 52519524 61272778 73975671 78779286 91909167 96285794 98634228 122545556 144428691 147951342 157558572 183818334 192571588 275727501 288857382 295902684 337000279 367636668 433286073 551455002 577714764 674000558 866572146 1011000837 1102910004 1348001116 1733144292 2022001674 3033002511 4044003348 6066005022 12132010044