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12231024 = 24313171153
BaseRepresentation
bin101110101010…
…000101110000
3212000101210220
4232222011300
511112343044
61114053040
7205650651
oct56520560
925011726
1012231024
1169a4393
12411a180
1326c31c0
1418a5528
151119019
hexbaa170

12231024 has 80 divisors (see below), whose sum is σ = 36060192. Its totient is φ = 3538944.

The previous prime is 12231001. The next prime is 12231059. The reversal of 12231024 is 42013221.

It is a junction number, because it is equal to n+sod(n) for n = 12230994 and 12231012.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10032 + ... + 11184.

Almost surely, 212231024 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 12231024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030096).

12231024 is an abundant number, since it is smaller than the sum of its proper divisors (23829168).

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

12231024 is a wasteful number, since it uses less digits than its factorization.

12231024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12231024 is about 3497.2880922223. The cubic root of 12231024 is about 230.4027222865.

Adding to 12231024 its reverse (42013221), we get a palindrome (54244245).

The spelling of 12231024 in words is "twelve million, two hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1153 1326 1768 2306 2652 3459 3536 4612 5304 6918 9224 10608 13836 14989 18448 19601 27672 29978 39202 44967 55344 58803 59956 78404 89934 117606 119912 156808 179868 235212 239824 254813 313616 359736 470424 509626 719472 764439 940848 1019252 1528878 2038504 3057756 4077008 6115512 12231024