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12013134112 = 257717271039
BaseRepresentation
bin10110011000000100…
…11110000100100000
31011000012211102222001
423030002132010200
5144100330242422
65304015053344
7603460645420
oct131402360440
934005742861
1012013134112
115105112511
1223b3211254
131195ab2aa5
1481d67a480
154a49b7227
hex2cc09e120

12013134112 has 96 divisors (see below), whose sum is σ = 27474370560. Its totient is φ = 5064111360.

The previous prime is 12013133983. The next prime is 12013134139. The reversal of 12013134112 is 21143131021.

It is a self number, because there is not a number n which added to its sum of digits gives 12013134112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11561689 + ... + 11562727.

It is an arithmetic number, because the mean of its divisors is an integer number (286191360).

Almost surely, 212013134112 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 12013134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737185280).

12013134112 is an abundant number, since it is smaller than the sum of its proper divisors (15461236448).

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

12013134112 is a wasteful number, since it uses less digits than its factorization.

12013134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12013134112 its reverse (21143131021), we get a palindrome (33156265133).

It can be divided in two parts, 1201 and 3134112, that added together give a palindrome (3135313).

The spelling of 12013134112 in words is "twelve billion, thirteen million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 727 994 1039 1136 1454 1988 2078 2272 2908 3976 4156 5089 5816 7273 7952 8312 10178 11632 14546 15904 16624 20356 23264 29092 33248 40712 51617 58184 73769 81424 103234 116368 147538 162848 206468 232736 295076 361319 412936 516383 590152 722638 755353 825872 1032766 1180304 1445276 1510706 1651744 2065532 2360608 2890552 3021412 4131064 5287471 5781104 6042824 8262128 10574942 11562208 12085648 16524256 21149884 24171296 42299768 53630063 84599536 107260126 169199072 214520252 375410441 429040504 750820882 858081008 1501641764 1716162016 3003283528 6006567056 12013134112