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12232021000320 = 27325117110326399
BaseRepresentation
bin1011000111111111110101…
…0001000100000010000000
31121022100222120112010220200
42301333331101010002000
53100402134334002240
642003151325205200
72401506611663412
oct261777521040200
947270876463820
1012232021000320
113996630a6a530
121456793100800
136a96229c1a14
143040666ac9b2
151632b262d930
hexb1ffd444080

12232021000320 has 768 divisors, whose sum is σ = 47183026176000. Its totient is φ = 2895079219200.

The previous prime is 12232021000289. The next prime is 12232021000357. The reversal of 12232021000320 is 2300012023221.

12232021000320 is a `hidden beast` number, since 1 + 2 + 2 + 320 + 21 + 0 + 0 + 0 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12232021000293 and 12232021000302.

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 95 ways as a sum of consecutive naturals, for example, 463338481 + ... + 463364879.

It is an arithmetic number, because the mean of its divisors is an integer number (61436232000).

Almost surely, 212232021000320 is an apocalyptic number.

12232021000320 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 12232021000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23591513088000).

12232021000320 is an abundant number, since it is smaller than the sum of its proper divisors (34951005175680).

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

12232021000320 is a wasteful number, since it uses less digits than its factorization.

12232021000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26609 (or 26594 counting only the distinct ones).

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

Adding to 12232021000320 its reverse (2300012023221), we get a palindrome (14532033023541).

The spelling of 12232021000320 in words is "twelve trillion, two hundred thirty-two billion, twenty-one million, three hundred twenty", and thus it is an aban number.