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12303222210000 = 2432545979139211
BaseRepresentation
bin1011001100001001000100…
…1100000111110111010000
31121120011202201011100200200
42303002101030013313100
53103033444341210000
642100004450215200
72406610213200201
oct263022114076720
947504681140620
1012303222210000
113a13849214177
121468544284500
136b325bc65317
1430769ca4b5a8
1516507d418500
hexb3091307dd0

12303222210000 has 1200 divisors, whose sum is σ = 44839546752000. Its totient is φ = 3146532480000.

The previous prime is 12303222209983. The next prime is 12303222210029. The reversal of 12303222210000 is 1222230321.

12303222210000 is a `hidden beast` number, since 1 + 230 + 3 + 222 + 210 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 58309109895 + ... + 58309110105.

It is an arithmetic number, because the mean of its divisors is an integer number (37366288960).

Almost surely, 212303222210000 is an apocalyptic number.

12303222210000 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 12303222210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22419773376000).

12303222210000 is an abundant number, since it is smaller than the sum of its proper divisors (32536324542000).

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

12303222210000 is a wasteful number, since it uses less digits than its factorization.

12303222210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 498 counting only the distinct ones).

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

Adding to 12303222210000 its reverse (1222230321), we get a palindrome (12304444440321).

The spelling of 12303222210000 in words is "twelve trillion, three hundred three billion, two hundred twenty-two million, two hundred ten thousand".