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12027855805056 = 27357134249429
BaseRepresentation
bin1010111100000111010000…
…0100101001101010000000
31120120211222221200121200000
42233001310010221222000
53034031022041230211
641325304244400000
72350661323315110
oct257016404515200
946524887617600
1012027855805056
113917a920444a3
1214230b46a6000
136932b6791a80
142d8219355040
1515cd136a2656
hexaf074129a80

12027855805056 has 384 divisors, whose sum is σ = 44176394371200. Its totient is φ = 3172181004288.

The previous prime is 12027855804989. The next prime is 12027855805061. The reversal of 12027855805056 is 65050855872021.

12027855805056 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 7 + 8 + 5 + 580 + 5 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12027855804993 and 12027855805011.

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 47 ways as a sum of consecutive naturals, for example, 705750 + ... + 4955178.

It is an arithmetic number, because the mean of its divisors is an integer number (115042693675).

Almost surely, 212027855805056 is an apocalyptic number.

12027855805056 is a gapful number since it is divisible by the number (16) 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 12027855805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22088197185600).

12027855805056 is an abundant number, since it is smaller than the sum of its proper divisors (32148538566144).

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

12027855805056 is an equidigital number, since it uses as much as digits as its factorization.

12027855805056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249478 (or 4249454 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 12027855805056 in words is "twelve trillion, twenty-seven billion, eight hundred fifty-five million, eight hundred five thousand, fifty-six".