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12032113303200 = 2535231379426707
BaseRepresentation
bin1010111100010111000111…
…0101101101111010100000
31120121020222122220221011110
42233011301311231322200
53034113232001200300
641331250533343320
72351201661413124
oct257056165557240
946536878827143
1012032113303200
113919877312901
121423aa2497b40
1369381484ca43
142d8500977584
1515ceb233d550
hexaf171d6dea0

12032113303200 has 288 divisors, whose sum is σ = 40534665615360. Its totient is φ = 3096861465600.

The previous prime is 12032113303193. The next prime is 12032113303201. The reversal of 12032113303200 is 230331123021.

It is not an unprimeable number, because it can be changed into a prime (12032113303201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27984247 + ... + 28410953.

It is an arithmetic number, because the mean of its divisors is an integer number (140745366720).

Almost surely, 212032113303200 is an apocalyptic number.

12032113303200 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 12032113303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267332807680).

12032113303200 is an abundant number, since it is smaller than the sum of its proper divisors (28502552312160).

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

12032113303200 is a wasteful number, since it uses less digits than its factorization.

12032113303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427140 (or 427127 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12032113303200 its reverse (230331123021), we get a palindrome (12262444426221).

The spelling of 12032113303200 in words is "twelve trillion, thirty-two billion, one hundred thirteen million, three hundred three thousand, two hundred".