12005760 has 192 divisors, whose sum is σ = 42558480. Its totient is φ = 2875392.

The previous prime is 12005753. The next prime is 12005761. The reversal of 12005760 is 6750021.

12005760 = T₅₇₅ + T₅₇₆ + ... + T₆₃₉.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324462 + ... + 324498.

Almost surely, 2^12005760 is an apocalyptic number.

12005760 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 12005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21279240).

12005760 is an abundant number, since it is smaller than the sum of its proper divisors (30552720).

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

12005760 is a wasteful number, since it uses less digits than its factorization.

12005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12005760 is about 3464.9328997832. The cubic root of 12005760 is about 228.9794735071.

Adding to 12005760 its reverse (6750021), we get a palindrome (18755781).

The spelling of 12005760 in words is "twelve million, five thousand, seven hundred sixty".