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12041816200 = 2352196747297
BaseRepresentation
bin10110011011011111…
…11000100010001000
31011002012210122101121
423031233320202020
5144130201104300
65310521525024
7604256514601
oct131557704210
934065718347
1012041816200
11511a322817
122400943774
13119ba15c3b
148233c4da8
154a728081a
hex2cdbf8888

12041816200 has 96 divisors (see below), whose sum is σ = 29911255200. Its totient is φ = 4495011840.

The previous prime is 12041816183. The next prime is 12041816231. The reversal of 12041816200 is 261814021.

12041816200 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 (25).

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 23 ways as a sum of consecutive naturals, for example, 230952 + ... + 278248.

It is an arithmetic number, because the mean of its divisors is an integer number (311575575).

Almost surely, 212041816200 is an apocalyptic number.

12041816200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12041816200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955627600).

12041816200 is an abundant number, since it is smaller than the sum of its proper divisors (17869439000).

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

12041816200 is a wasteful number, since it uses less digits than its factorization.

12041816200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47399 (or 47390 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The spelling of 12041816200 in words is "twelve billion, forty-one million, eight hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 67 76 95 100 134 152 190 200 268 335 380 475 536 670 760 950 1273 1340 1675 1900 2546 2680 3350 3800 5092 6365 6700 10184 12730 13400 25460 31825 47297 50920 63650 94594 127300 189188 236485 254600 378376 472970 898643 945940 1182425 1797286 1891880 2364850 3168899 3594572 4493215 4729700 6337798 7189144 8986430 9459400 12675596 15844495 17972860 22466075 25351192 31688990 35945720 44932150 60209081 63377980 79222475 89864300 120418162 126755960 158444950 179728600 240836324 301045405 316889900 481672648 602090810 633779800 1204181620 1505227025 2408363240 3010454050 6020908100 12041816200