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12128201 = 9721289
BaseRepresentation
bin101110010000…
…111111001001
3211211011202122
4232100333021
511101100301
61111541025
7205042121
oct56207711
924734678
1012128201
116934108
12408a775
132688467
141879c81
1510e881b
hexb90fc9

12128201 has 6 divisors (see below), whose sum is σ = 12264030. Its totient is φ = 11993856.

The previous prime is 12128189. The next prime is 12128219. The reversal of 12128201 is 10282121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2886601 + 9241600 = 1699^2 + 3040^2 .

It is not a de Polignac number, because 12128201 - 210 = 12127177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12128201.

It is not an unprimeable number, because it can be changed into a prime (12128231) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 8765 + ... + 10053.

It is an arithmetic number, because the mean of its divisors is an integer number (2044005).

Almost surely, 212128201 is an apocalyptic number.

It is an amenable number.

12128201 is a deficient number, since it is larger than the sum of its proper divisors (135829).

12128201 is an frugal number, since it uses more digits than its factorization.

12128201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 12128201 is about 3482.5566757772. The cubic root of 12128201 is about 229.7552595155.

The spelling of 12128201 in words is "twelve million, one hundred twenty-eight thousand, two hundred one".

Divisors: 1 97 1289 9409 125033 12128201