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12042131324112 = 243529106801931
BaseRepresentation
bin1010111100111100011011…
…1101011011110011010000
31120122012211211121010100000
42233033012331123303100
53034244241104332422
641340025002330000
72352005145242151
oct257170675336320
946565754533300
1012042131324112
11392304821622a
121425a194b9900
136947501a9876
142d8bb126b928
1515d39baaacac
hexaf3c6f5bcd0

12042131324112 has 120 divisors (see below), whose sum is σ = 36154590020640. Its totient is φ = 3875628435840.

The previous prime is 12042131324077. The next prime is 12042131324123. The reversal of 12042131324112 is 21142313124021.

12042131324112 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 213 + 1 + 32 + 411 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53288214 + ... + 53513717.

It is an arithmetic number, because the mean of its divisors is an integer number (301288250172).

Almost surely, 212042131324112 is an apocalyptic number.

12042131324112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12042131324112 is an abundant number, since it is smaller than the sum of its proper divisors (24112458696528).

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

12042131324112 is a wasteful number, since it uses less digits than its factorization.

12042131324112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106801983 (or 106801965 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12042131324112 its reverse (21142313124021), we get a palindrome (33184444448133).

The spelling of 12042131324112 in words is "twelve trillion, forty-two billion, one hundred thirty-one million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 464 486 522 648 696 783 972 1044 1296 1392 1566 1944 2088 2349 3132 3888 4176 4698 6264 7047 9396 12528 14094 18792 28188 37584 56376 112752 106801931 213603862 320405793 427207724 640811586 854415448 961217379 1281623172 1708830896 1922434758 2563246344 2883652137 3097255999 3844869516 5126492688 5767304274 6194511998 7689739032 8650956411 9291767997 11534608548 12389023996 15379478064 17301912822 18583535994 23069217096 24778047992 25952869233 27875303991 34603825644 37167071988 46138434192 49556095984 51905738466 55750607982 69207651288 74334143976 83625911973 103811476932 111501215964 138415302576 148668287952 167251823946 207622953864 223002431928 250877735919 334503647892 415245907728 446004863856 501755471838 669007295784 752633207757 1003510943676 1338014591568 1505266415514 2007021887352 3010532831028 4014043774704 6021065662056 12042131324112