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12009888 = 25321117223
BaseRepresentation
bin101101110100…
…000110100000
3211121011110200
4231310012200
511033304023
61105225200
7204040152
oct55640640
924534420
1012009888
116863230
124032200
132646657
141848ad2
1510c3743
hexb741a0

12009888 has 144 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3409920.

The previous prime is 12009869. The next prime is 12009901. The reversal of 12009888 is 88890021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 53745 + ... + 53967.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 212009888 is an apocalyptic number.

12009888 is a gapful number since it is divisible by the number (18) 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 12009888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

12009888 is an abundant number, since it is smaller than the sum of its proper divisors (27616608).

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

12009888 is a wasteful number, since it uses less digits than its factorization.

12009888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 12009888 is about 3465.5285311190. The cubic root of 12009888 is about 229.0057142158.

The spelling of 12009888 in words is "twelve million, nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 223 264 272 288 306 352 374 396 408 446 528 544 561 612 669 748 792 816 892 1056 1122 1224 1338 1496 1584 1632 1683 1784 2007 2244 2448 2453 2676 2992 3168 3366 3568 3791 4014 4488 4896 4906 5352 5984 6732 7136 7359 7582 8028 8976 9812 10704 11373 13464 14718 15164 16056 17952 19624 21408 22077 22746 26928 29436 30328 32112 34119 39248 41701 44154 45492 53856 58872 60656 64224 68238 78496 83402 88308 90984 117744 121312 125103 136476 166804 176616 181968 235488 250206 272952 333608 353232 363936 375309 500412 545904 667216 706464 750618 1000824 1091808 1334432 1501236 2001648 3002472 4003296 6004944 12009888