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12071463012 = 22327259115987
BaseRepresentation
bin10110011111000001…
…11110100001100100
31011011021120212011200
423033200332201210
5144210243304022
65313501202500
7605066512500
oct131740764144
934137525150
1012071463012
115135031914
12240a860430
1311a4bc622b
14827301300
154a9b89bac
hex2cf83e864

12071463012 has 108 divisors (see below), whose sum is σ = 36097785360. Its totient is φ = 3390502752.

The previous prime is 12071462993. The next prime is 12071463013. The reversal of 12071463012 is 21036417021.

12071463012 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 14 + 630 + 12 = 666.

12071463012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120714630123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12071463013) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 46083 + ... + 162069.

Almost surely, 212071463012 is an apocalyptic number.

12071463012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12071463012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048892680).

12071463012 is an abundant number, since it is smaller than the sum of its proper divisors (24026322348).

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

12071463012 is a wasteful number, since it uses less digits than its factorization.

12071463012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116070 (or 116058 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12071463012 in words is "twelve billion, seventy-one million, four hundred sixty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 59 63 84 98 118 126 147 177 196 236 252 294 354 413 441 531 588 708 826 882 1062 1239 1652 1764 2124 2478 2891 3717 4956 5782 7434 8673 11564 14868 17346 26019 34692 52038 104076 115987 231974 347961 463948 695922 811909 1043883 1391844 1623818 2087766 2435727 3247636 4175532 4871454 5683363 6843233 7307181 9742908 11366726 13686466 14614362 17050089 20529699 22733452 27372932 29228724 34100178 41059398 47902631 51150267 61589097 68200356 82118796 95805262 102300534 123178194 143707893 191610524 204601068 246356388 287415786 335318417 431123679 574831572 670636834 862247358 1005955251 1341273668 1724494716 2011910502 3017865753 4023821004 6035731506 12071463012