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12135024 = 24321147163
BaseRepresentation
bin101110010010…
…101001110000
3211211112010100
4232102221300
511101310044
61112032400
7205101036
oct56225160
924745110
1012135024
116939250
124092700
13268b5b5
14187c556
1510ea869
hexb92a70

12135024 has 120 divisors (see below), whose sum is σ = 38068992. Its totient is φ = 3576960.

The previous prime is 12135023. The next prime is 12135031. The reversal of 12135024 is 42053121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12134988 and 12135006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135023) 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 23 ways as a sum of consecutive naturals, for example, 74367 + ... + 74529.

Almost surely, 212135024 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 12135024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034496).

12135024 is an abundant number, since it is smaller than the sum of its proper divisors (25933968).

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

12135024 is a wasteful number, since it uses less digits than its factorization.

12135024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12135024 is about 3483.5361344473. The cubic root of 12135024 is about 229.7983361504.

Adding to 12135024 its reverse (42053121), we get a palindrome (54188145).

The spelling of 12135024 in words is "twelve million, one hundred thirty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 163 176 188 198 264 282 326 376 396 423 489 517 528 564 652 752 792 846 978 1034 1128 1304 1467 1551 1584 1692 1793 1956 2068 2256 2608 2934 3102 3384 3586 3912 4136 4653 5379 5868 6204 6768 7172 7661 7824 8272 9306 10758 11736 12408 14344 15322 16137 18612 21516 22983 23472 24816 28688 30644 32274 37224 43032 45966 61288 64548 68949 74448 84271 86064 91932 122576 129096 137898 168542 183864 252813 258192 275796 337084 367728 505626 551592 674168 758439 1011252 1103184 1348336 1516878 2022504 3033756 4045008 6067512 12135024