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12045312 = 210321307
BaseRepresentation
bin101101111100…
…110000000000
3211122222001200
4231330300000
511040422222
61110101200
7204245346
oct55746000
924588050
1012045312
116887904
12404a800
132659806
141857996
1510cdeac
hexb7cc00

12045312 has 66 divisors (see below), whose sum is σ = 34807188. Its totient is φ = 4012032.

The previous prime is 12045277. The next prime is 12045317. The reversal of 12045312 is 21354021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12045317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8563 + ... + 9869.

Almost surely, 212045312 is an apocalyptic number.

12045312 is a gapful number since it is divisible by the number (12) 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 12045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403594).

12045312 is an abundant number, since it is smaller than the sum of its proper divisors (22761876).

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

12045312 is a wasteful number, since it uses less digits than its factorization.

12045312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12045312 is about 3470.6356766448. The cubic root of 12045312 is about 229.2306493008.

Adding to 12045312 its reverse (21354021), we get a palindrome (33399333).

The spelling of 12045312 in words is "twelve million, forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1307 1536 2304 2614 3072 3921 4608 5228 7842 9216 10456 11763 15684 20912 23526 31368 41824 47052 62736 83648 94104 125472 167296 188208 250944 334592 376416 501888 669184 752832 1003776 1338368 1505664 2007552 3011328 4015104 6022656 12045312