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12141242178 = 23134173131397
BaseRepresentation
bin10110100111010110…
…01010011101000010
31011100010220000012020
423103223022131002
5144331124222203
65324432542310
7606604566342
oct132353123502
934303800166
1012141242178
115170461a4a
12242a0b1996
1311b64b8390
148326a6d22
154b0d70153
hex2d3aca742

12141242178 has 128 divisors (see below), whose sum is σ = 27431357184. Its totient is φ = 3558297600.

The previous prime is 12141242161. The next prime is 12141242207. The reversal of 12141242178 is 87124214121.

12141242178 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 30582276 + ... + 30582672.

It is an arithmetic number, because the mean of its divisors is an integer number (214307478).

Almost surely, 212141242178 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141242178, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13715678592).

12141242178 is an abundant number, since it is smaller than the sum of its proper divisors (15290115006).

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

12141242178 is a wasteful number, since it uses less digits than its factorization.

12141242178 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660.

The product of its digits is 7168, while the sum is 33.

Adding to 12141242178 its reverse (87124214121), we get a palindrome (99265456299).

The spelling of 12141242178 in words is "twelve billion, one hundred forty-one million, two hundred forty-two thousand, one hundred seventy-eight".

Divisors: 1 2 3 6 13 26 39 41 73 78 82 123 131 146 219 246 262 393 397 438 533 786 794 949 1066 1191 1599 1703 1898 2382 2847 2993 3198 3406 5109 5161 5371 5694 5986 8979 9563 10218 10322 10742 15483 16113 16277 17958 19126 28689 28981 30966 32226 32554 38909 48831 52007 57378 57962 69823 77818 86943 97662 104014 116727 124319 139646 156021 173886 209469 211601 233454 248638 312042 372957 376753 392083 418938 423202 634803 676091 745914 753506 784166 1130259 1176249 1188221 1269606 1352182 2028273 2132287 2260518 2352498 2376442 3564663 3796511 4056546 4264574 5097079 6396861 7129326 7593022 10194158 11389533 12793722 15291237 15446873 22779066 27719731 30582474 30893746 46340619 49354643 55439462 83159193 92681238 98709286 148063929 155656951 166318386 296127858 311313902 466970853 933941706 2023540363 4047080726 6070621089 12141242178