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12132204 = 2237247439
BaseRepresentation
bin101110010001…
…111101101100
3211211101020220
4232101331230
511101212304
61112011340
7205056600
oct56217554
924741226
1012132204
116937117
124090b50
13268a226
14187b500
1510e9ad9
hexb91f6c

12132204 has 72 divisors (see below), whose sum is σ = 33707520. Its totient is φ = 3384864.

The previous prime is 12132151. The next prime is 12132217. The reversal of 12132204 is 40223121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27417 + ... + 27855.

It is an arithmetic number, because the mean of its divisors is an integer number (468160).

Almost surely, 212132204 is an apocalyptic number.

12132204 is a gapful number since it is divisible by the number (14) 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 12132204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853760).

12132204 is an abundant number, since it is smaller than the sum of its proper divisors (21575316).

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

12132204 is a wasteful number, since it uses less digits than its factorization.

12132204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12132204 is about 3483.1313498058. The cubic root of 12132204 is about 229.7805341938.

Adding to 12132204 its reverse (40223121), we get a palindrome (52355325).

The spelling of 12132204 in words is "twelve million, one hundred thirty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 439 564 588 658 878 987 1316 1317 1756 1974 2303 2634 3073 3948 4606 5268 6146 6909 9212 9219 12292 13818 18438 20633 21511 27636 36876 41266 43022 61899 64533 82532 86044 123798 129066 144431 247596 258132 288862 433293 577724 866586 1011017 1733172 2022034 3033051 4044068 6066102 12132204