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12030322302000 = 24325319371019413
BaseRepresentation
bin1010111100010000011100…
…0101100101110000110000
31120121002100211211122101200
42233010013011211300300
53034101100002131000
641330353114131200
72351106413225232
oct257040705456060
946532324748350
1012030322302000
113919038345122
121423682720b00
136935ba790912
142d83b0b64252
1515ce09eb1500
hexaf107165c30

12030322302000 has 960 divisors, whose sum is σ = 45879386567040. Its totient is φ = 2927508480000.

The previous prime is 12030322301989. The next prime is 12030322302071. The reversal of 12030322302000 is 20322303021.

It is a happy number.

12030322302000 is a `hidden beast` number, since 1 + 203 + 0 + 32 + 230 + 200 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1278049294 + ... + 1278058706.

It is an arithmetic number, because the mean of its divisors is an integer number (47791027674).

Almost surely, 212030322302000 is an apocalyptic number.

12030322302000 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 12030322302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22939693283520).

12030322302000 is an abundant number, since it is smaller than the sum of its proper divisors (33849064265040).

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

12030322302000 is a wasteful number, since it uses less digits than its factorization.

12030322302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9599 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12030322302000 its reverse (20322303021), we get a palindrome (12050644605021).

The spelling of 12030322302000 in words is "twelve trillion, thirty billion, three hundred twenty-two million, three hundred two thousand".