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12332312330000 = 245413192262781
BaseRepresentation
bin1011001101110101011100…
…0110000111111100010000
31121122221212001100120100112
42303131113012013330100
53104023033424030000
642121215220340452
72411660124140525
oct263352706077420
947587761316315
1012332312330000
113a25116897963
121472102544728
136b5c16984990
14308c5c2c714c
15165bd2213235
hexb3757187f10

12332312330000 has 300 divisors, whose sum is σ = 33936054820668. Its totient is φ = 4313796480000.

The previous prime is 12332312329949. The next prime is 12332312330089. The reversal of 12332312330000 is 3321323321.

It can be written as a sum of positive squares in 10 ways, for example, as 10726070404624 + 1606241925376 = 3275068^2 + 1267376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46798610 + ... + 47061390.

Almost surely, 212332312330000 is an apocalyptic number.

12332312330000 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 12332312330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968027410334).

12332312330000 is an abundant number, since it is smaller than the sum of its proper divisors (21603742490668).

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

12332312330000 is a wasteful number, since it uses less digits than its factorization.

12332312330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262860 (or 262820 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 12332312330000 its reverse (3321323321), we get a palindrome (12335633653321).

The spelling of 12332312330000 in words is "twelve trillion, three hundred thirty-two billion, three hundred twelve million, three hundred thirty thousand".