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12105303408 = 24321119402223
BaseRepresentation
bin10110100011000100…
…00100010101110000
31011020122021010110200
423101202010111300
5144242424202113
65321110355200
7605660244522
oct132142042560
934218233420
1012105303408
115152145690
12241a05bb00
1311abc14233
1482b9cda12
154acb21873
hex2d1884570

12105303408 has 120 divisors (see below), whose sum is σ = 38903105280. Its totient is φ = 3475198080.

The previous prime is 12105303383. The next prime is 12105303421. The reversal of 12105303408 is 80430350121.

It is a happy number.

12105303408 is a `hidden beast` number, since 121 + 0 + 530 + 3 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171016 + ... + 231207.

It is an arithmetic number, because the mean of its divisors is an integer number (324192544).

Almost surely, 212105303408 is an apocalyptic number.

12105303408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12105303408 is an abundant number, since it is smaller than the sum of its proper divisors (26797801872).

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

12105303408 is a wasteful number, since it uses less digits than its factorization.

12105303408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402267 (or 402258 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12105303408 its reverse (80430350121), we get a palindrome (92535653529).

It can be divided in two parts, 12105 and 303408, that added together give a palindrome (315513).

The spelling of 12105303408 in words is "twelve billion, one hundred five million, three hundred three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 30096 402223 804446 1206669 1608892 2413338 3217784 3620007 4424453 4826676 6435568 7240014 7642237 8848906 9653352 13273359 14480028 15284474 17697812 19306704 22926711 26546718 28960056 30568948 35395624 39820077 45853422 53093436 57920112 61137896 68780133 70791248 79640154 84064607 91706844 106186872 122275792 137560266 159280308 168129214 183413688 212373744 252193821 275120532 318560616 336258428 366827376 504387642 550241064 637121232 672516856 756581463 1008775284 1100482128 1345033712 1513162926 2017550568 3026325852 4035101136 6052651704 12105303408