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12141024 = 253722989
BaseRepresentation
bin101110010100…
…000111100000
3211211211100120
4232110013200
511102003044
61112120240
7205124400
oct56240740
924754316
1012141024
116942805
124096080
13269124c
141880800
1510ec519
hexb941e0

12141024 has 144 divisors (see below), whose sum is σ = 38782800. Its totient is φ = 3311616.

The previous prime is 12141011. The next prime is 12141037. The reversal of 12141024 is 42014121.

It is an interprime number because it is at equal distance from previous prime (12141011) and next prime (12141037).

It is a junction number, because it is equal to n+sod(n) for n = 12140994 and 12141012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136372 + ... + 136460.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 212141024 is an apocalyptic number.

12141024 is a gapful number since it is divisible by the number (14) 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 12141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19391400).

12141024 is an abundant number, since it is smaller than the sum of its proper divisors (26641776).

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

12141024 is a wasteful number, since it uses less digits than its factorization.

12141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12141024 is about 3484.3972219022. The cubic root of 12141024 is about 229.8362034794.

Adding to 12141024 its reverse (42014121), we get a palindrome (54155145).

The spelling of 12141024 in words is "twelve million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 89 96 98 112 116 147 168 174 178 196 203 224 232 267 294 336 348 356 392 406 464 534 588 609 623 672 696 712 784 812 928 1068 1176 1218 1246 1392 1421 1424 1568 1624 1869 2136 2352 2436 2492 2581 2784 2842 2848 3248 3738 4263 4272 4361 4704 4872 4984 5162 5684 6496 7476 7743 8526 8544 8722 9744 9968 10324 11368 13083 14952 15486 17052 17444 18067 19488 19936 20648 22736 26166 29904 30972 34104 34888 36134 41296 45472 52332 54201 59808 61944 68208 69776 72268 82592 104664 108402 123888 126469 136416 139552 144536 209328 216804 247776 252938 289072 379407 418656 433608 505876 578144 758814 867216 1011752 1517628 1734432 2023504 3035256 4047008 6070512 12141024