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12125568 = 273713347
BaseRepresentation
bin101110010000…
…010110000000
3211211001011010
4232100112000
511101004233
61111520520
7205031340
oct56202600
924731133
1012125568
116932134
124089140
1326871c0
141878d20
1510e7b63
hexb90580

12125568 has 128 divisors (see below), whose sum is σ = 39755520. Its totient is φ = 3188736.

The previous prime is 12125563. The next prime is 12125569. The reversal of 12125568 is 86552121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12125563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34771 + ... + 35117.

It is an arithmetic number, because the mean of its divisors is an integer number (310590).

Almost surely, 212125568 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 12125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19877760).

12125568 is an abundant number, since it is smaller than the sum of its proper divisors (27629952).

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

12125568 is a wasteful number, since it uses less digits than its factorization.

12125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 12125568 is about 3482.1786283877. The cubic root of 12125568 is about 229.7386318947.

Adding to 12125568 its reverse (86552121), we get a palindrome (98677689).

The spelling of 12125568 in words is "twelve million, one hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 347 364 384 416 448 546 624 672 694 728 832 896 1041 1092 1248 1344 1388 1456 1664 2082 2184 2429 2496 2688 2776 2912 4164 4368 4511 4858 4992 5552 5824 7287 8328 8736 9022 9716 11104 11648 13533 14574 16656 17472 18044 19432 22208 27066 29148 31577 33312 34944 36088 38864 44416 54132 58296 63154 66624 72176 77728 94731 108264 116592 126308 133248 144352 155456 189462 216528 233184 252616 288704 310912 378924 433056 466368 505232 577408 757848 866112 932736 1010464 1515696 1732224 2020928 3031392 4041856 6062784 12125568