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12023122000320 = 263259474408337
BaseRepresentation
bin1010111011110101100111…
…1010100111100111000000
31120120101210001012102100200
42232331121322213213000
53033441323213002240
641323202422445200
72350433112534114
oct256753172474700
946511701172320
1012023122000320
113915a82a21982
1214221b3293800
13692a10b26292
142d7cca787744
1515cb37ccd930
hexaef59ea79c0

12023122000320 has 168 divisors, whose sum is σ = 41398208424144. Its totient is φ = 3202779537408.

The previous prime is 12023122000313. The next prime is 12023122000343. The reversal of 12023122000320 is 2300022132021.

12023122000320 is a `hidden beast` number, since 12 + 0 + 2 + 312 + 20 + 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 = 12023122000293 and 12023122000302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523192 + ... + 4931528.

Almost surely, 212023122000320 is an apocalyptic number.

12023122000320 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 12023122000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20699104212072).

12023122000320 is an abundant number, since it is smaller than the sum of its proper divisors (29375086423824).

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

12023122000320 is a wasteful number, since it uses less digits than its factorization.

12023122000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409307 (or 4409294 counting only the distinct ones).

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

Adding to 12023122000320 its reverse (2300022132021), we get a palindrome (14323144132341).

The spelling of 12023122000320 in words is "twelve trillion, twenty-three billion, one hundred twenty-two million, three hundred twenty", and thus it is an aban number.