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12233313022320 = 243251329316123833
BaseRepresentation
bin1011001000000100101001…
…0001101111000101110000
31121022111022121200122220100
42302001022101233011300
53100412311113203240
642003523441512400
72401553620665405
oct262011221570560
947274277618810
1012233313022320
113997134308805
121456a93942700
136a979a595590
1430414a1142ac
1516333ac94e30
hexb204a46f170

12233313022320 has 960 divisors, whose sum is σ = 48022436367360. Its totient is φ = 2767409971200.

The previous prime is 12233313022313. The next prime is 12233313022321. The reversal of 12233313022320 is 2322031333221.

12233313022320 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 31 + 302 + 2 + 320 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233313022321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 513281124 + ... + 513304956.

It is an arithmetic number, because the mean of its divisors is an integer number (50023371216).

Almost surely, 212233313022320 is an apocalyptic number.

12233313022320 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 12233313022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24011218183680).

12233313022320 is an abundant number, since it is smaller than the sum of its proper divisors (35789123345040).

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

12233313022320 is a wasteful number, since it uses less digits than its factorization.

12233313022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23986 (or 23977 counting only the distinct ones).

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

Adding to 12233313022320 its reverse (2322031333221), we get a palindrome (14555344355541).

The spelling of 12233313022320 in words is "twelve trillion, two hundred thirty-three billion, three hundred thirteen million, twenty-two thousand, three hundred twenty".