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12012304122 = 23271371103289
BaseRepresentation
bin10110010111111110…
…10011011011111010
31011000011021021102200
423023333103123322
5144100122212442
65303545211030
7603450620550
oct131377233372
934004237380
1012012304122
1151046a5975
1223b2a90a76
131195882080
1481d501bd0
154a48a134c
hex2cbfd36fa

12012304122 has 96 divisors (see below), whose sum is σ = 32484291840. Its totient is φ = 3123429120.

The previous prime is 12012304067. The next prime is 12012304147. The reversal of 12012304122 is 22140321021.

It is a happy number.

12012304122 is a `hidden beast` number, since 1 + 20 + 1 + 230 + 412 + 2 = 666.

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 = 12012304095 and 12012304104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64654 + ... + 167942.

It is an arithmetic number, because the mean of its divisors is an integer number (338378040).

Almost surely, 212012304122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012304122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16242145920).

12012304122 is an abundant number, since it is smaller than the sum of its proper divisors (20471987718).

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

12012304122 is a wasteful number, since it uses less digits than its factorization.

12012304122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103388 (or 103385 counting only the distinct ones).

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

Adding to 12012304122 its reverse (22140321021), we get a palindrome (34152625143).

The spelling of 12012304122 in words is "twelve billion, twelve million, three hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 71 78 91 117 126 142 182 213 234 273 426 497 546 639 819 923 994 1278 1491 1638 1846 2769 2982 4473 5538 6461 8307 8946 12922 16614 19383 38766 58149 103289 116298 206578 309867 619734 723023 929601 1342757 1446046 1859202 2169069 2685514 4028271 4338138 6507207 7333519 8056542 9399299 12084813 13014414 14667038 18798598 22000557 24169626 28197897 44001114 51334633 56395794 66001671 84593691 95335747 102669266 132003342 154003899 169187382 190671494 286007241 308007798 462011697 572014482 667350229 858021723 924023394 1334700458 1716043446 2002050687 4004101374 6006152061 12012304122