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12132672201 = 3213234508611
BaseRepresentation
bin10110100110010100…
…11110001011001001
31011022112202121101200
423103022132023021
5144321431002301
65323525134413
7606442004106
oct132312361311
934275677350
1012132672201
115166639221
12242725a409
1311b47a76a0
148314b5aad
154b022ac86
hex2d329e2c9

12132672201 has 24 divisors (see below), whose sum is σ = 19693617216. Its totient is φ = 7141638240.

The previous prime is 12132672199. The next prime is 12132672259. The reversal of 12132672201 is 10227623121.

12132672201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12132672201 - 21 = 12132672199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12132672401) 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 23 ways as a sum of consecutive naturals, for example, 2251615 + ... + 2256996.

It is an arithmetic number, because the mean of its divisors is an integer number (820567384).

Almost surely, 212132672201 is an apocalyptic number.

It is an amenable number.

12132672201 is a deficient number, since it is larger than the sum of its proper divisors (7560945015).

12132672201 is a wasteful number, since it uses less digits than its factorization.

12132672201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508653 (or 4508650 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12132672201 in words is "twelve billion, one hundred thirty-two million, six hundred seventy-two thousand, two hundred one".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 2691 4508611 13525833 40577499 58611943 103698053 175835829 311094159 527507487 933282477 1348074689 4044224067 12132672201