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12501125 = 537213157
BaseRepresentation
bin101111101100…
…000010000101
3212112010022122
4233230002011
511200014000
61123535325
7211154300
oct57540205
925463278
1012501125
11706930a
12422a545
132789120
141935b37
15116e085
hexbec085

12501125 has 48 divisors (see below), whose sum is σ = 19669104. Its totient is φ = 7862400.

The previous prime is 12501067. The next prime is 12501169. The reversal of 12501125 is 52110521.

It can be written as a sum of positive squares in 8 ways, for example, as 7761796 + 4739329 = 2786^2 + 2177^2 .

It is not a de Polignac number, because 12501125 - 28 = 12500869 is a prime.

12501125 is a modest number, since divided by 1125 gives 125 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79547 + ... + 79703.

It is an arithmetic number, because the mean of its divisors is an integer number (409773).

Almost surely, 212501125 is an apocalyptic number.

It is an amenable number.

12501125 is a deficient number, since it is larger than the sum of its proper divisors (7167979).

12501125 is a wasteful number, since it uses less digits than its factorization.

12501125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 12501125 is about 3535.6930013789. The cubic root of 12501125 is about 232.0864038550.

Adding to 12501125 its reverse (52110521), we get a palindrome (64611646).

The spelling of 12501125 in words is "twelve million, five hundred one thousand, one hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 125 157 175 245 325 455 637 785 875 1099 1225 1625 2041 2275 3185 3925 5495 6125 7693 10205 11375 14287 15925 19625 27475 38465 51025 71435 79625 100009 137375 192325 255125 357175 500045 961625 1785875 2500225 12501125