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12223103222000 = 2453112294737057
BaseRepresentation
bin1011000111011110100110…
…1110011100000011110000
31121021111222002011001211202
42301313221232130003300
53100230403411101000
641555114402230332
72401042615060616
oct261675156340360
947244862131752
1012223103222000
113992875127700
121454b046553a8
136a883129c108
1430385c17b6b6
15162e3e793dd5
hexb1de9b9c0f0

12223103222000 has 480 divisors, whose sum is σ = 34322775701760. Its totient is φ = 4200075264000.

The previous prime is 12223103221997. The next prime is 12223103222003. The reversal of 12223103222000 is 22230132221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12223103221997) and next prime (12223103222003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223103222003) by changing a digit.

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, 329827472 + ... + 329864528.

It is an arithmetic number, because the mean of its divisors is an integer number (71505782712).

Almost surely, 212223103222000 is an apocalyptic number.

12223103222000 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 12223103222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17161387850880).

12223103222000 is an abundant number, since it is smaller than the sum of its proper divisors (22099672479760).

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

12223103222000 is a wasteful number, since it uses less digits than its factorization.

12223103222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37178 (or 37151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12223103222000 its reverse (22230132221), we get a palindrome (12245333354221).

The spelling of 12223103222000 in words is "twelve trillion, two hundred twenty-three billion, one hundred three million, two hundred twenty-two thousand".