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12332002340 = 22572928310733
BaseRepresentation
bin10110111110000101…
…10110110000100100
31011211102211121221102
423133002312300210
5200223443033330
65355405335232
7614412201410
oct133702666044
934742747842
1012332002340
115259103979
122481b67518
131216b88b08
1484db61d40
154c29a1945
hex2df0b6c24

12332002340 has 96 divisors (see below), whose sum is σ = 30728436480. Its totient is φ = 4067513856.

The previous prime is 12332002321. The next prime is 12332002343. The reversal of 12332002340 is 4320023321.

12332002340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12332002343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143614 + ... + 1154346.

It is an arithmetic number, because the mean of its divisors is an integer number (320087880).

Almost surely, 212332002340 is an apocalyptic number.

12332002340 is a gapful number since it is divisible by the number (10) 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 12332002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364218240).

12332002340 is an abundant number, since it is smaller than the sum of its proper divisors (18396434140).

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

12332002340 is a wasteful number, since it uses less digits than its factorization.

12332002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061 (or 11059 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12332002340 its reverse (4320023321), we get a palindrome (16652025661).

The spelling of 12332002340 in words is "twelve billion, three hundred thirty-two million, two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 283 290 406 566 580 812 1015 1132 1415 1981 2030 2830 3962 4060 5660 7924 8207 9905 10733 16414 19810 21466 32828 39620 41035 42932 53665 57449 75131 82070 107330 114898 150262 164140 214660 229796 287245 300524 311257 375655 574490 622514 751310 1148980 1245028 1502620 1556285 2178799 3037439 3112570 4357598 6074878 6225140 8715196 10893995 12149756 15187195 21262073 21787990 30374390 42524146 43575980 60748780 85048292 88085731 106310365 176171462 212620730 352342924 425241460 440428655 616600117 880857310 1233200234 1761714620 2466400468 3083000585 6166001170 12332002340