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12061872 = 243441227
BaseRepresentation
bin101110000000…
…110010110000
3211200210210000
4232000302300
511041434442
61110310000
7204344544
oct56006260
924623700
1012061872
116899299
124058300
132664204
14185da24
1510d3d4c
hexb80cb0

12061872 has 100 divisors (see below), whose sum is σ = 35919576. Its totient is φ = 3905280.

The previous prime is 12061859. The next prime is 12061873. The reversal of 12061872 is 27816021.

It is a super-2 number, since 2×120618722 = 290977512288768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12061873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53023 + ... + 53249.

Almost surely, 212061872 is an apocalyptic number.

12061872 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 12061872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959788).

12061872 is an abundant number, since it is smaller than the sum of its proper divisors (23857704).

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

12061872 is a wasteful number, since it uses less digits than its factorization.

12061872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12061872 is about 3473.0205873274. The cubic root of 12061872 is about 229.3356506286.

Adding to 12061872 its reverse (27816021), we get a palindrome (39877893).

The spelling of 12061872 in words is "twelve million, sixty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 227 246 324 328 369 432 454 492 648 656 681 738 908 984 1107 1296 1362 1476 1816 1968 2043 2214 2724 2952 3321 3632 4086 4428 5448 5904 6129 6642 8172 8856 9307 10896 12258 13284 16344 17712 18387 18614 24516 26568 27921 32688 36774 37228 49032 53136 55842 73548 74456 83763 98064 111684 147096 148912 167526 223368 251289 294192 335052 446736 502578 670104 753867 1005156 1340208 1507734 2010312 3015468 4020624 6030936 12061872