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12224040125 = 53112292312
BaseRepresentation
bin10110110001001110…
…00000110010111101
31011112220200120121212
423120213000302331
5200013323241000
65340551334205
7611631424643
oct133047006275
934486616555
1012224040125
115203174300
122451981365
1311ca6b814b
1483d69b193
154b8277c35
hex2d89c0cbd

12224040125 has 108 divisors (see below), whose sum is σ = 17945007444. Its totient is φ = 8306760000.

The previous prime is 12224040121. The next prime is 12224040137. The reversal of 12224040125 is 52104042221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12224040125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3684247204 + 8539792921 = 60698^2 + 92411^2 .

It is not a de Polignac number, because 12224040125 - 22 = 12224040121 is a prime.

It is a super-2 number, since 2×122240401252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12224040125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224040121) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 394323860 + ... + 394323890.

Almost surely, 212224040125 is an apocalyptic number.

It is an amenable number.

12224040125 is a deficient number, since it is larger than the sum of its proper divisors (5720967319).

12224040125 is an equidigital number, since it uses as much as digits as its factorization.

12224040125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Multiplying 12224040125 by its product of nonzero digits (1280), we get a square (15646771360000 = 39556002).

Adding to 12224040125 its reverse (52104042221), we get a palindrome (64328082346).

The spelling of 12224040125 in words is "twelve billion, two hundred twenty-four million, forty thousand, one hundred twenty-five".

Divisors: 1 5 11 25 29 31 55 121 125 145 155 275 319 341 605 725 775 841 899 961 1375 1595 1705 3025 3509 3625 3751 3875 4205 4495 4805 7975 8525 9251 9889 10571 15125 17545 18755 21025 22475 24025 26071 27869 39875 42625 46255 49445 52855 87725 93775 101761 105125 108779 112375 116281 120125 130355 139345 231275 247225 264275 286781 306559 438625 468875 508805 543895 581405 651775 696725 808201 1156375 1236125 1321375 1433905 1532795 2544025 2719475 2907025 3154591 3258875 3372149 3483625 4041005 7169525 7663975 8890211 12720125 13597375 14535125 15772955 16860745 20205025 35847625 38319875 44451055 78864775 84303725 97792321 101025125 222255275 394323875 421518625 488961605 1111276375 2444808025 12224040125