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12111120042 = 2371773317733
BaseRepresentation
bin10110100011110000…
…10000011010101010
31011021001012122101120
423101320100122222
5144300421320132
65321435200110
7606060551610
oct132170203252
934231178346
1012111120042
11515545881a
12241bba6036
1311b019c928
1482c6a56b0
154ad3c002c
hex2d1e106aa

12111120042 has 128 divisors (see below), whose sum is σ = 29846859264. Its totient is φ = 3197657088.

The previous prime is 12111120017. The next prime is 12111120101. The reversal of 12111120042 is 24002111121.

12111120042 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16522308 + ... + 16523040.

It is an arithmetic number, because the mean of its divisors is an integer number (233178588).

Almost surely, 212111120042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111120042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923429632).

12111120042 is an abundant number, since it is smaller than the sum of its proper divisors (17735739222).

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

12111120042 is a wasteful number, since it uses less digits than its factorization.

12111120042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12111120042 its reverse (24002111121), we get a palindrome (36113231163).

It can be divided in two parts, 1211 and 1120042, that added together give a triangular number (1121253 = T1497).

The spelling of 12111120042 in words is "twelve billion, one hundred eleven million, one hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 73 102 119 146 219 238 317 357 438 511 634 714 733 951 1022 1241 1466 1533 1902 2199 2219 2482 3066 3723 4398 4438 5131 5389 6657 7446 8687 10262 10778 12461 13314 15393 16167 17374 23141 24922 26061 30786 32334 37383 37723 46282 52122 53509 69423 74766 75446 87227 107018 113169 138846 160527 161987 174454 226338 232361 261681 321054 323974 374563 393397 464722 485961 523362 697083 749126 786794 909653 971922 1123689 1180191 1394166 1626527 1819306 2247378 2360382 2728959 2753779 3253054 3950137 4879581 5457918 5507558 6367571 7900274 8261337 9759162 11850411 12735142 16522674 16962353 19102713 23700822 27650959 33924706 38205426 50887059 55301918 82952877 101774118 118736471 165905754 237472942 288360001 356209413 576720002 712418826 865080003 1730160006 2018520007 4037040014 6055560021 12111120042