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12123384 = 2337213261
BaseRepresentation
bin101110001111…
…110011111000
3211210221011020
4232033303320
511100422014
61111502440
7205022100
oct56176370
924727136
1012123384
116930529
124087a20
132686200
141878200
1510e71a9
hexb8fcf8

12123384 has 144 divisors (see below), whose sum is σ = 38803320. Its totient is φ = 3144960.

The previous prime is 12123373. The next prime is 12123439. The reversal of 12123384 is 48332121.

It is a super-2 number, since 2×121233842 = 293952879222912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198714 + ... + 198774.

Almost surely, 212123384 is an apocalyptic number.

12123384 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 12123384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19401660).

12123384 is an abundant number, since it is smaller than the sum of its proper divisors (26679936).

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

12123384 is a wasteful number, since it uses less digits than its factorization.

12123384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 12123384 is about 3481.8650174870. The cubic root of 12123384 is about 229.7248379210.

The spelling of 12123384 in words is "twelve million, one hundred twenty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 61 78 84 91 98 104 122 147 156 168 169 182 183 196 244 273 294 312 338 364 366 392 427 488 507 546 588 637 676 728 732 793 854 1014 1092 1176 1183 1274 1281 1352 1464 1586 1708 1911 2028 2184 2366 2379 2548 2562 2989 3172 3416 3549 3822 4056 4732 4758 5096 5124 5551 5978 6344 7098 7644 8281 8967 9464 9516 10248 10309 11102 11956 14196 15288 16562 16653 17934 19032 20618 22204 23912 24843 28392 30927 33124 33306 35868 38857 41236 44408 49686 61854 66248 66612 71736 72163 77714 82472 99372 116571 123708 133224 144326 155428 198744 216489 233142 247416 288652 310856 432978 466284 505141 577304 865956 932568 1010282 1515423 1731912 2020564 3030846 4041128 6061692 12123384