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12330221232 = 2437231169111
BaseRepresentation
bin10110111101111000…
…00011111010110000
31011211022111010201110
423132330003322300
5200223014034412
65355303233320
7614361102600
oct133674037260
934738433643
1012330221232
1152580a778a
122481448840
1312166b41c4
1484d81ac00
154c274dd3c
hex2def03eb0

12330221232 has 120 divisors (see below), whose sum is σ = 38249075712. Its totient is φ = 3409257600.

The previous prime is 12330221221. The next prime is 12330221311. The reversal of 12330221232 is 23212203321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12330221199 and 12330221208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11644 + ... + 157467.

Almost surely, 212330221232 is an apocalyptic number.

12330221232 is a gapful number since it is divisible by the number (12) 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 12330221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124537856).

12330221232 is an abundant number, since it is smaller than the sum of its proper divisors (25918854480).

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

12330221232 is a wasteful number, since it uses less digits than its factorization.

12330221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169167 (or 169154 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12330221232 its reverse (23212203321), we get a palindrome (35542424553).

The spelling of 12330221232 in words is "twelve billion, three hundred thirty million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 6076 9114 10416 12152 18228 24304 36456 72912 169111 338222 507333 676444 1014666 1183777 1352888 2029332 2367554 2705776 3551331 4058664 4735108 5242441 7102662 8117328 8286439 9470216 10484882 14205324 15727323 16572878 18940432 20969764 24859317 28410648 31454646 33145756 36697087 41939528 49718634 56821296 62909292 66291512 73394174 83879056 99437268 110091261 125818584 132583024 146788348 198874536 220182522 251637168 256879609 293576696 397749072 440365044 513759218 587153392 770638827 880730088 1027518436 1541277654 1761460176 2055036872 3082555308 4110073744 6165110616 12330221232