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12008130282 = 23729137691
BaseRepresentation
bin10110010111011110…
…11000011011101010
31010222212102020000000
423023233120123222
5144043040132112
65303315523430
7603400265121
oct131357303352
933885366000
1012008130282
115102305015
1223b15b9576
131194a50345
1481cb36ab8
154a43297dc
hex2cbbd86ea

12008130282 has 128 divisors (see below), whose sum is σ = 28190419200. Its totient is φ = 3830924160.

The previous prime is 12008130269. The next prime is 12008130313. The reversal of 12008130282 is 28203180021.

12008130282 is a `hidden beast` number, since 1 + 200 + 81 + 302 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 17377557 + ... + 17378247.

It is an arithmetic number, because the mean of its divisors is an integer number (220237650).

Almost surely, 212008130282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12008130282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14095209600).

12008130282 is an abundant number, since it is smaller than the sum of its proper divisors (16182288918).

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

12008130282 is an equidigital number, since it uses as much as digits as its factorization.

12008130282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12008130282 in words is "twelve billion, eight million, one hundred thirty thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 137 162 174 243 261 274 411 486 522 691 729 783 822 1233 1382 1458 1566 2073 2187 2349 2466 3699 3973 4146 4374 4698 6219 7047 7398 7946 11097 11919 12438 14094 18657 20039 21141 22194 23838 33291 35757 37314 40078 42282 55971 60117 63423 66582 71514 94667 99873 107271 111942 120234 126846 167913 180351 189334 199746 214542 284001 299619 321813 335826 360702 503739 541053 568002 599238 643626 852003 965439 1007478 1082106 1511217 1623159 1704006 1930878 2556009 2745343 2896317 3022434 3246318 4869477 5112018 5490686 5792634 7668027 8236029 8688951 9738954 14608431 15336054 16472058 17377902 23004081 24708087 29216862 43825293 46008162 49416174 69012243 74124261 87650586 138024486 148248522 207036729 222372783 414073458 444745566 667118349 1334236698 2001355047 4002710094 6004065141 12008130282