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12223103220000 = 25325467906129
BaseRepresentation
bin1011000111011110100110…
…1110011011100100100000
31121021111222002010222002200
42301313221232123210200
53100230403411020000
641555114402213200
72401042615052031
oct261675156334440
947244862128080
1012223103220000
113992875126152
121454b04654200
136a883129b22a
1430385c17aa88
15162e3e793500
hexb1de9b9b920

12223103220000 has 180 divisors, whose sum is σ = 43435409087070. Its totient is φ = 3259494144000.

The previous prime is 12223103219993. The next prime is 12223103220067. The reversal of 12223103220000 is 2230132221.

12223103220000 is a `hidden beast` number, since 12 + 22 + 310 + 322 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2058662518416 + 10164440701584 = 1434804^2 + 3188172^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 33773065 + ... + 34133064.

Almost surely, 212223103220000 is an apocalyptic number.

12223103220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223103220000 is an abundant number, since it is smaller than the sum of its proper divisors (31212305867070).

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

12223103220000 is an equidigital number, since it uses as much as digits as its factorization.

12223103220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67906165 (or 67906139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12223103220000 its reverse (2230132221), we get a palindrome (12225333352221).

The spelling of 12223103220000 in words is "twelve trillion, two hundred twenty-three billion, one hundred three million, two hundred twenty thousand".