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12331132320 = 2535132712141
BaseRepresentation
bin10110111101111111…
…00010010110100000
31011211101012102111110
423132333202112200
5200223232213240
65355334543320
7614401616043
oct133677422640
934741172443
1012331132320
11525866a251
122481807b40
131216942b00
1484d9b6c5a
154c287dc80
hex2defe25a0

12331132320 has 288 divisors, whose sum is σ = 42673163904. Its totient is φ = 2991206400.

The previous prime is 12331132309. The next prime is 12331132327. The reversal of 12331132320 is 2323113321.

It is not an unprimeable number, because it can be changed into a prime (12331132327) by changing a digit.

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, 5758450 + ... + 5760590.

It is an arithmetic number, because the mean of its divisors is an integer number (148170708).

Almost surely, 212331132320 is an apocalyptic number.

12331132320 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 12331132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336581952).

12331132320 is an abundant number, since it is smaller than the sum of its proper divisors (30342031584).

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

12331132320 is a wasteful number, since it uses less digits than its factorization.

12331132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12331132320 its reverse (2323113321), we get a palindrome (14654245641).

The spelling of 12331132320 in words is "twelve billion, three hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty".