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12003912 = 2332295749
BaseRepresentation
bin101101110010…
…101001001000
3211120212021100
4231302221020
511033111122
61105141400
7204013554
oct55625110
924525240
1012003912
116859798
12402a860
132643a0b
141846864
1510c1aac
hexb72a48

12003912 has 48 divisors (see below), whose sum is σ = 33637500. Its totient is φ = 3862656.

The previous prime is 12003911. The next prime is 12003961. The reversal of 12003912 is 21930021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10850436 + 1153476 = 3294^2 + 1074^2 .

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 (12003911) 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 11 ways as a sum of consecutive naturals, for example, 787 + ... + 4962.

Almost surely, 212003912 is an apocalyptic number.

12003912 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 12003912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16818750).

12003912 is an abundant number, since it is smaller than the sum of its proper divisors (21633588).

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

12003912 is a wasteful number, since it uses less digits than its factorization.

12003912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12003912 is about 3464.6662176897. Note that the first 3 decimals coincide. The cubic root of 12003912 is about 228.9677242639.

Adding to 12003912 its reverse (21930021), we get a palindrome (33933933).

The spelling of 12003912 in words is "twelve million, three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 5749 11498 17247 22996 34494 45992 51741 68988 103482 137976 166721 206964 333442 413928 500163 666884 1000326 1333768 1500489 2000652 3000978 4001304 6001956 12003912