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12012123312 = 243373972263
BaseRepresentation
bin10110010111111101…
…00111010010110000
31011000010221002102000
423023332213102300
5144100100421222
65303541254000
7603446235450
oct131376472260
934003832360
1012012123312
115104592042
1223b2a04300
13119581a997
1481d495d60
154a48679ac
hex2cbfa74b0

12012123312 has 80 divisors (see below), whose sum is σ = 39404858880. Its totient is φ = 3432034368.

The previous prime is 12012123311. The next prime is 12012123367. The reversal of 12012123312 is 21332121021.

12012123312 is a `hidden beast` number, since 120 + 1 + 212 + 331 + 2 = 666.

It is a super-2 number, since 2×120121233122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12012123311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983108 + ... + 1989155.

It is an arithmetic number, because the mean of its divisors is an integer number (492560736).

Almost surely, 212012123312 is an apocalyptic number.

12012123312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12012123312 is an abundant number, since it is smaller than the sum of its proper divisors (27392735568).

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

12012123312 is a wasteful number, since it uses less digits than its factorization.

12012123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972287 (or 3972275 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12012123312 its reverse (21332121021), we get a palindrome (33344244333).

The spelling of 12012123312 in words is "twelve billion, twelve million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 3972263 7944526 11916789 15889052 23833578 27805841 31778104 35750367 47667156 55611682 63556208 71500734 83417523 95334312 107251101 111223364 143001468 166835046 190668624 214502202 222446728 250252569 286002936 333670092 429004404 444893456 500505138 572005872 667340184 750757707 858008808 1001010276 1334680368 1501515414 1716017616 2002020552 3003030828 4004041104 6006061656 12012123312