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12332210011000 = 2353112701145391
BaseRepresentation
bin1011001101110101000011…
…1111110011101101111000
31121122221120220211020001221
42303131100333303231320
53104022331230323000
642121201123321424
72411654442346435
oct263352077635570
947587526736057
1012332210011000
113a25074062100
121472094220274
136b5bcb70b7a9
14308c4c890b8c
15165bc825161a
hexb3750ff3b78

12332210011000 has 192 divisors, whose sum is σ = 31764726564480. Its totient is φ = 4478012000000.

The previous prime is 12332210010997. The next prime is 12332210011019. The reversal of 12332210011000 is 11001223321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84748305 + ... + 84893695.

It is an arithmetic number, because the mean of its divisors is an integer number (165441284190).

Almost surely, 212332210011000 is an apocalyptic number.

12332210011000 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 12332210011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882363282240).

12332210011000 is an abundant number, since it is smaller than the sum of its proper divisors (19432516553480).

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

12332210011000 is a wasteful number, since it uses less digits than its factorization.

12332210011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146135 (or 146110 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12332210011000 its reverse (11001223321), we get a palindrome (12343211234321).

The spelling of 12332210011000 in words is "twelve trillion, three hundred thirty-two billion, two hundred ten million, eleven thousand".