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12336128 = 21071721
BaseRepresentation
bin101111000011…
…110000000000
3212012201222122
4233003300000
511124224003
61120223412
7206566250
oct57036000
925181878
1012336128
116a66352
12416ab68
13272bcac
1418d1960
15113a238
hexbc3c00

12336128 has 44 divisors (see below), whose sum is σ = 28199472. Its totient is φ = 5283840.

The previous prime is 12336089. The next prime is 12336131. The reversal of 12336128 is 82163321.

It is a junction number, because it is equal to n+sod(n) for n = 12336097 and 12336106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6308 + ... + 8028.

Almost surely, 212336128 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 12336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099736).

12336128 is an abundant number, since it is smaller than the sum of its proper divisors (15863344).

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

12336128 is an equidigital number, since it uses as much as digits as its factorization.

12336128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1730 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 12336128 is about 3512.2824487789. The cubic root of 12336128 is about 231.0608086884.

Adding to 12336128 its reverse (82163321), we get a palindrome (94499449).

The spelling of 12336128 in words is "twelve million, three hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1721 1792 3442 3584 6884 7168 12047 13768 24094 27536 48188 55072 96376 110144 192752 220288 385504 440576 771008 881152 1542016 1762304 3084032 6168064 12336128