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12032131111000 = 235371113611011951
BaseRepresentation
bin1010111100010111001011…
…1001101001100001011000
31120121021000220102122212121
42233011302321221201120
53034113301031023000
641331252411151024
72351202265651660
oct257056271514130
946537026378777
1012032131111000
1139198863760a0
121423aa8445474
136938184463c0
142d85030911a0
1515ceb3ba9b1a
hexaf172e69858

12032131111000 has 1024 divisors, whose sum is σ = 38822795182080. Its totient is φ = 3369600000000.

The previous prime is 12032131110991. The next prime is 12032131111019. The reversal of 12032131111000 is 11113123021.

It is a happy number.

12032131111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6167160025 + ... + 6167161975.

It is an arithmetic number, because the mean of its divisors is an integer number (37912885920).

Almost surely, 212032131111000 is an apocalyptic number.

12032131111000 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 12032131111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411397591040).

12032131111000 is an abundant number, since it is smaller than the sum of its proper divisors (26790664071080).

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

12032131111000 is a wasteful number, since it uses less digits than its factorization.

12032131111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12032131111000 its reverse (11113123021), we get a palindrome (12043244234021).

The spelling of 12032131111000 in words is "twelve trillion, thirty-two billion, one hundred thirty-one million, one hundred eleven thousand".