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12999888 = 24321129283
BaseRepresentation
bin110001100101…
…110011010000
3220110110111100
4301211303100
511311444023
61142344400
7215332356
oct61456320
926413440
1012999888
11737a010
12442b100
132902155
141a257d6
15121bc43
hexc65cd0

12999888 has 120 divisors (see below), whose sum is σ = 41202720. Its totient is φ = 3790080.

The previous prime is 12999869. The next prime is 12999919. The reversal of 12999888 is 88899921.

It is a happy number.

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 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, 45795 + ... + 46077.

It is an arithmetic number, because the mean of its divisors is an integer number (343356).

Almost surely, 212999888 is an apocalyptic number.

12999888 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 12999888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20601360).

12999888 is an abundant number, since it is smaller than the sum of its proper divisors (28202832).

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

12999888 is a wasteful number, since it uses less digits than its factorization.

12999888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The square root of 12999888 is about 3605.5357438250. The cubic root of 12999888 is about 235.1327935150.

The spelling of 12999888 in words is "twelve million, nine hundred ninety-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 283 319 348 396 464 522 528 566 638 696 792 849 957 1044 1132 1276 1392 1584 1698 1914 2088 2264 2547 2552 2871 3113 3396 3828 4176 4528 5094 5104 5742 6226 6792 7656 8207 9339 10188 11484 12452 13584 15312 16414 18678 20376 22968 24621 24904 28017 32828 37356 40752 45936 49242 49808 56034 65656 73863 74712 90277 98484 112068 131312 147726 149424 180554 196968 224136 270831 295452 361108 393936 448272 541662 590904 722216 812493 1083324 1181808 1444432 1624986 2166648 3249972 4333296 6499944 12999888