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12441123501200 = 245231102808753
BaseRepresentation
bin1011010100001010110010…
…1111110011010010010000
31122001100201021202210012022
42311002230233303102100
53112313410104014300
642243212341351012
72422561431631022
oct265025457632220
948040637683168
1012441123501200
113a67283971329
12148b20b108468
136c3267a9c094
14310221648012
1516894ec7a285
hexb50acbf3490

12441123501200 has 30 divisors (see below), whose sum is σ = 29889799212594. Its totient is φ = 4976449400320.

The previous prime is 12441123501197. The next prime is 12441123501221. The reversal of 12441123501200 is 210532114421.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 45316191376 + 12395807309824 = 212876^2 + 3520768^2 .

It is a super-2 number, since 2×124411235012002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12441123501200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15551403977 + ... + 15551404776.

Almost surely, 212441123501200 is an apocalyptic number.

12441123501200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12441123501200 is an abundant number, since it is smaller than the sum of its proper divisors (17448675711394).

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

12441123501200 is a wasteful number, since it uses less digits than its factorization.

12441123501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31102808771 (or 31102808760 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 12441123501200 its reverse (210532114421), we get a palindrome (12651655615621).

The spelling of 12441123501200 in words is "twelve trillion, four hundred forty-one billion, one hundred twenty-three million, five hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 31102808753 62205617506 124411235012 155514043765 248822470024 311028087530 497644940048 622056175060 777570218825 1244112350120 1555140437650 2488224700240 3110280875300 6220561750600 12441123501200