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12321022333320 = 23325298017147209
BaseRepresentation
bin1011001101001011011000…
…1010001101000110001000
31121121212201020020022110100
42303102312022031012020
53103331423204131240
642112111032445400
72411110263560361
oct263226612150610
947555636208410
1012321022333320
113a20352998298
12146ba91549860
136b4b3795277c
143084aaac8b68
15165770e8de30
hexb34b628d188

12321022333320 has 192 divisors, whose sum is σ = 41429575278000. Its totient is φ = 3171891953664.

The previous prime is 12321022333289. The next prime is 12321022333357. The reversal of 12321022333320 is 2333322012321.

12321022333320 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 1 + 0 + 2 + 2 + 333 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8945255503044 + 3375766830276 = 2990862^2 + 1837326^2 .

It is a super-3 number, since 3×123210223333203 (a number of 40 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 83623876 + ... + 83771084.

Almost surely, 212321022333320 is an apocalyptic number.

12321022333320 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 12321022333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20714787639000).

12321022333320 is an abundant number, since it is smaller than the sum of its proper divisors (29108552944680).

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

12321022333320 is a wasteful number, since it uses less digits than its factorization.

12321022333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155272 (or 155265 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12321022333320 its reverse (2333322012321), we get a palindrome (14654344345641).

The spelling of 12321022333320 in words is "twelve trillion, three hundred twenty-one billion, twenty-two million, three hundred thirty-three thousand, three hundred twenty".