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12132224 = 271323317
BaseRepresentation
bin101110010001…
…111110000000
3211211101021122
4232101332000
511101212344
61112011412
7205056626
oct56217600
924741248
1012132224
116937135
124090b68
13268a240
14187b516
1510e9aee
hexb91f80

12132224 has 64 divisors (see below), whose sum is σ = 27246240. Its totient is φ = 5339136.

The previous prime is 12132223. The next prime is 12132259. The reversal of 12132224 is 42223121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38114 + ... + 38430.

Almost surely, 212132224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623120).

12132224 is an abundant number, since it is smaller than the sum of its proper divisors (15114016).

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

12132224 is a wasteful number, since it uses less digits than its factorization.

12132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 12132224 is about 3483.1342207845. The cubic root of 12132224 is about 229.7806604585.

Adding to 12132224 its reverse (42223121), we get a palindrome (54355345).

The spelling of 12132224 in words is "twelve million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 317 368 416 598 634 736 832 1196 1268 1472 1664 2392 2536 2944 4121 4784 5072 7291 8242 9568 10144 14582 16484 19136 20288 29164 32968 38272 40576 58328 65936 94783 116656 131872 189566 233312 263744 379132 466624 527488 758264 933248 1516528 3033056 6066112 12132224