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12008412 = 2234132851
BaseRepresentation
bin101101110011…
…101111011100
3211121002110000
4231303233130
511033232122
61105214300
7204032643
oct55635734
924532400
1012008412
116862109
124031390
132645a90
14184835a
1510c30ac
hexb73bdc

12008412 has 60 divisors (see below), whose sum is σ = 33819016. Its totient is φ = 3693600.

The previous prime is 12008411. The next prime is 12008413. The reversal of 12008412 is 21480021.

It is an interprime number because it is at equal distance from previous prime (12008411) and next prime (12008413).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12008411) 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, 2787 + ... + 5637.

Almost surely, 212008412 is an apocalyptic number.

12008412 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 12008412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909508).

12008412 is an abundant number, since it is smaller than the sum of its proper divisors (21810604).

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

12008412 is a wasteful number, since it uses less digits than its factorization.

12008412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12008412 is about 3465.3155700455. The cubic root of 12008412 is about 228.9963323275.

Adding to 12008412 its reverse (21480021), we get a palindrome (33488433).

The spelling of 12008412 in words is "twelve million, eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2851 4212 5702 8553 11404 17106 25659 34212 37063 51318 74126 76977 102636 111189 148252 153954 222378 230931 307908 333567 444756 461862 667134 923724 1000701 1334268 2001402 3002103 4002804 6004206 12008412