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12323223231120 = 24325471994913727
BaseRepresentation
bin1011001101010011100101…
…0101111101101010010000
31121122002101121121111122200
42303110321111331222100
53103400430121343440
642113113253403200
72411215650106134
oct263247125755220
947562347544580
1012323223231120
113a2128228039a
1214703a6639500
136b50c8909969
1430863911b3c4
1516584e2d6c30
hexb353957da90

12323223231120 has 480 divisors, whose sum is σ = 42576360652800. Its totient is φ = 3192737264640.

The previous prime is 12323223231119. The next prime is 12323223231139. The reversal of 12323223231120 is 2113232232321.

12323223231120 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 322 + 3 + 2 + 311 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3306470697 + ... + 3306474423.

It is an arithmetic number, because the mean of its divisors is an integer number (88700751360).

Almost surely, 212323223231120 is an apocalyptic number.

12323223231120 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 12323223231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288180326400).

12323223231120 is an abundant number, since it is smaller than the sum of its proper divisors (30253137421680).

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

12323223231120 is a wasteful number, since it uses less digits than its factorization.

12323223231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12323223231120 its reverse (2113232232321), we get a palindrome (14436455463441).

The spelling of 12323223231120 in words is "twelve trillion, three hundred twenty-three billion, two hundred twenty-three million, two hundred thirty-one thousand, one hundred twenty".