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12031023332112 = 2433131097729979
BaseRepresentation
bin1010111100010011000011…
…0111110011101100010000
31120121011011200221122220220
42233010300313303230100
53034104013433111422
641330550435433040
72351132654666631
oct257046067635420
946534150848826
1012031023332112
113919368028454
121423839455780
1369369caa0b35
142d8439cc9888
1515ce4b7d8e5c
hexaf130df3b10

12031023332112 has 80 divisors (see below), whose sum is σ = 31207906405440. Its totient is φ = 3993878992896.

The previous prime is 12031023332101. The next prime is 12031023332117. The reversal of 12031023332112 is 21123332013021.

12031023332112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12031023332117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16116339 + ... + 16846317.

It is an arithmetic number, because the mean of its divisors is an integer number (390098830068).

Almost surely, 212031023332112 is an apocalyptic number.

12031023332112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12031023332112 is an abundant number, since it is smaller than the sum of its proper divisors (19176883073328).

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

12031023332112 is a wasteful number, since it uses less digits than its factorization.

12031023332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731400 (or 731394 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12031023332112 its reverse (21123332013021), we get a palindrome (33154355345133).

The spelling of 12031023332112 in words is "twelve trillion, thirty-one billion, twenty-three million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 313 626 939 1097 1252 1878 2194 2504 3291 3756 4388 5008 6582 7512 8776 13164 15024 17552 26328 52656 343361 686722 729979 1030083 1373444 1459958 2060166 2189937 2746888 2919916 4120332 4379874 5493776 5839832 8240664 8759748 11679664 16481328 17519496 35038992 228483427 456966854 685450281 800786963 913933708 1370900562 1601573926 1827867416 2402360889 2741801124 3203147852 3655734832 4804721778 5483602248 6406295704 9609443556 10967204496 12812591408 19218887112 38437774224 250646319419 501292638838 751938958257 1002585277676 1503877916514 2005170555352 3007755833028 4010341110704 6015511666056 12031023332112