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12000112112 = 241983974903
BaseRepresentation
bin10110010110100001…
…10010110111110000
31010222022022212010202
423023100302313300
5144034012041422
65302432014332
7603242161412
oct131320626760
933868285122
1012000112112
1150a882892a
1223aa9913a8
1311931a3871
1481ba4a9b2
154a3793b92
hex2cb432df0

12000112112 has 80 divisors (see below), whose sum is σ = 25029231360. Its totient is φ = 5556750336.

The previous prime is 12000112037. The next prime is 12000112141. The reversal of 12000112112 is 21121100021.

12000112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12000112093 and 12000112102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2445053 + ... + 2449955.

It is an arithmetic number, because the mean of its divisors is an integer number (312865392).

Almost surely, 212000112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12514615680).

12000112112 is an abundant number, since it is smaller than the sum of its proper divisors (13029119248).

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

12000112112 is a wasteful number, since it uses less digits than its factorization.

12000112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12000112112 its reverse (21121100021), we get a palindrome (33121212133).

The spelling of 12000112112 in words is "twelve billion, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 83 97 152 166 194 304 332 388 664 776 1328 1552 1577 1843 3154 3686 4903 6308 7372 8051 9806 12616 14744 16102 19612 25232 29488 32204 39224 64408 78448 93157 128816 152969 186314 305938 372628 406949 475591 611876 745256 813898 951182 1223752 1490512 1627796 1902364 2447504 3255592 3804728 6511184 7609456 7732031 9036229 15464062 18072458 30928124 36144916 39474053 61856248 72289832 78948106 123712496 144579664 157896212 315792424 631584848 750007007 1500014014 3000028028 6000056056 12000112112