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12327018238080 = 2733571321973061
BaseRepresentation
bin1011001101100001101110…
…0010110001000010000000
31121122110012002120211112000
42303120123202301002000
53103431213132104310
642114542021504000
72411412001121310
oct263303342610200
947573162524460
1012327018238080
113a2294a481287
121471085572000
136b5581c16500
143088b914d440
151659c25684c0
hexb361b8b1080

12327018238080 has 1536 divisors, whose sum is σ = 54320389516800. Its totient is φ = 2586817658880.

The previous prime is 12327018238063. The next prime is 12327018238111. The reversal of 12327018238080 is 8083281072321.

12327018238080 is a `hidden beast` number, since 1 + 2 + 327 + 0 + 18 + 238 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4027119750 + ... + 4027122810.

It is an arithmetic number, because the mean of its divisors is an integer number (35364836925).

Almost surely, 212327018238080 is an apocalyptic number.

12327018238080 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 12327018238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27160194758400).

12327018238080 is an abundant number, since it is smaller than the sum of its proper divisors (41993371278720).

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

12327018238080 is a wasteful number, since it uses less digits than its factorization.

12327018238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12327018238080 in words is "twelve trillion, three hundred twenty-seven billion, eighteen million, two hundred thirty-eight thousand, eighty".