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12132127 = 71924801
BaseRepresentation
bin101110010001…
…111100011111
3211211101011001
4232101330133
511101212002
61112011131
7205056430
oct56217437
924741131
1012132127
116937057
124090aa7
13268a197
14187b487
1510e9a87
hexb91f1f

12132127 has 12 divisors (see below), whose sum is σ = 14636496. Its totient is φ = 9849600.

The previous prime is 12132103. The next prime is 12132151. The reversal of 12132127 is 72123121.

It is an interprime number because it is at equal distance from previous prime (12132103) and next prime (12132151).

It is a de Polignac number, because none of the positive numbers 2k-12132127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127 + ... + 4927.

It is an arithmetic number, because the mean of its divisors is an integer number (1219708).

Almost surely, 212132127 is an apocalyptic number.

12132127 is a deficient number, since it is larger than the sum of its proper divisors (2504369).

12132127 is an equidigital number, since it uses as much as digits as its factorization.

12132127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4827 counting only the distinct ones).

The product of its digits is 168, while the sum is 19.

The square root of 12132127 is about 3483.1202965158. The cubic root of 12132127 is about 229.7800480733.

Adding to 12132127 its reverse (72123121), we get a palindrome (84255248).

The spelling of 12132127 in words is "twelve million, one hundred thirty-two thousand, one hundred twenty-seven".

Divisors: 1 7 19 133 361 2527 4801 33607 91219 638533 1733161 12132127