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12005125 = 53118731
BaseRepresentation
bin101101110010…
…111100000101
3211120220221021
4231302330011
511033131000
61105151141
7204020236
oct55627405
924526837
1012005125
11685a6a0
12402b4b1
132644432
14184708d
1510c211a
hexb72f05

12005125 has 16 divisors (see below), whose sum is σ = 16346304. Its totient is φ = 8730000.

The previous prime is 12005099. The next prime is 12005141. The reversal of 12005125 is 52150021.

It is a de Polignac number, because none of the positive numbers 2k-12005125 is a prime.

It is a super-3 number, since 3×120051253 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12005099 and 12005108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2991 + ... + 5740.

It is an arithmetic number, because the mean of its divisors is an integer number (1021644).

Almost surely, 212005125 is an apocalyptic number.

It is an amenable number.

12005125 is a deficient number, since it is larger than the sum of its proper divisors (4341179).

12005125 is an equidigital number, since it uses as much as digits as its factorization.

12005125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8757 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 12005125 is about 3464.8412662054. The cubic root of 12005125 is about 228.9754364301.

Adding to 12005125 its reverse (52150021), we get a palindrome (64155146).

Subtracting 12005125 from its reverse (52150021), we obtain a square (40144896 = 63362).

It can be divided in two parts, 12005 and 125, that multiplied together give a 4-th power (1500625 = 354).

The spelling of 12005125 in words is "twelve million, five thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 125 275 1375 8731 43655 96041 218275 480205 1091375 2401025 12005125