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12000096 = 2533171943
BaseRepresentation
bin101101110001…
…101101100000
3211120200001000
4231301231200
511033000341
61105112000
7203666463
oct55615540
924520030
1012000096
116856939
124028600
132642064
1418452da
1510c08b6
hexb71b60

12000096 has 192 divisors, whose sum is σ = 39916800. Its totient is φ = 3483648.

The previous prime is 12000091. The next prime is 12000097. The reversal of 12000096 is 69000021.

12000096 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279051 + ... + 279093.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 212000096 is an apocalyptic number.

12000096 is a gapful number since it is divisible by the number (16) 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 12000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

12000096 is an abundant number, since it is smaller than the sum of its proper divisors (27916704).

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

12000096 is a wasteful number, since it uses less digits than its factorization.

12000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12000096 is about 3464.1154715165. The cubic root of 12000096 is about 228.9434590233.

The spelling of 12000096 in words is "twelve million, ninety-six", and thus it is an aban number and an uban number.