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12239136000 = 283253713467
BaseRepresentation
bin10110110011000001…
…00110010100000000
31011120222002112021100
423121200212110000
5200031204323000
65342251054400
7612203640150
oct133140462400
934528075240
1012239136000
115210745033
122456a41400
131200872310
148416aa760
154b975aa00
hex2d9826500

12239136000 has 864 divisors, whose sum is σ = 54319120128. Its totient is φ = 2576793600.

The previous prime is 12239135933. The next prime is 12239136001. The reversal of 12239136000 is 63193221.

12239136000 is a `hidden beast` number, since 1 + 22 + 39 + 1 + 3 + 600 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12239136001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26207767 + ... + 26208233.

It is an arithmetic number, because the mean of its divisors is an integer number (62869352).

Almost surely, 212239136000 is an apocalyptic number.

12239136000 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 12239136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27159560064).

12239136000 is an abundant number, since it is smaller than the sum of its proper divisors (42079984128).

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

12239136000 is a wasteful number, since it uses less digits than its factorization.

12239136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 12239136000 in words is "twelve billion, two hundred thirty-nine million, one hundred thirty-six thousand".