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12132200 = 235260661
BaseRepresentation
bin101110010001…
…111101101000
3211211101020202
4232101331220
511101212300
61112011332
7205056563
oct56217550
924741222
1012132200
116937113
124090b48
13268a222
14187b4da
1510e9ad5
hexb91f68

12132200 has 24 divisors (see below), whose sum is σ = 28207830. Its totient is φ = 4852800.

The previous prime is 12132151. The next prime is 12132217. The reversal of 12132200 is 223121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6832996 + 5299204 = 2614^2 + 2302^2 .

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 5 ways as a sum of consecutive naturals, for example, 30131 + ... + 30530.

Almost surely, 212132200 is an apocalyptic number.

12132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132200 is an abundant number, since it is smaller than the sum of its proper divisors (16075630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12132200 is a wasteful number, since it uses less digits than its factorization.

12132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60677 (or 60668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12132200 is about 3483.1307756098. The cubic root of 12132200 is about 229.7805089408.

Adding to 12132200 its reverse (223121), we get a palindrome (12355321).

The spelling of 12132200 in words is "twelve million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60661 121322 242644 303305 485288 606610 1213220 1516525 2426440 3033050 6066100 12132200