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12132300 = 22352371093
BaseRepresentation
bin101110010001…
…111111001100
3211211101101110
4232101333030
511101213200
61112012020
7205060065
oct56217714
924741343
1012132300
1169371a4
124091010
13268a29b
14187b56c
1510e9b50
hexb91fcc

12132300 has 72 divisors (see below), whose sum is σ = 36084496. Its totient is φ = 3144960.

The previous prime is 12132299. The next prime is 12132301. The reversal of 12132300 is 323121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12132299) and next prime (12132301).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10554 + ... + 11646.

Almost surely, 212132300 is an apocalyptic number.

12132300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18042248).

12132300 is an abundant number, since it is smaller than the sum of its proper divisors (23952196).

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

12132300 is a wasteful number, since it uses less digits than its factorization.

12132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12132300 is about 3483.1451304819. The cubic root of 12132300 is about 229.7811402632.

Adding to 12132300 its reverse (323121), we get a palindrome (12455421).

It can be divided in two parts, 12 and 132300, that multiplied together give a square (1587600 = 12602).

The spelling of 12132300 in words is "twelve million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1093 1110 1850 2186 2220 2775 3279 3700 4372 5465 5550 6558 10930 11100 13116 16395 21860 27325 32790 40441 54650 65580 80882 81975 109300 121323 161764 163950 202205 242646 327900 404410 485292 606615 808820 1011025 1213230 2022050 2426460 3033075 4044100 6066150 12132300