12001360 has 80 divisors (see below), whose sum is σ = 33033600. Its totient is φ = 3967488.

The previous prime is 12001349. The next prime is 12001361. The reversal of 12001360 is 6310021.

12001360 = T₂₈₁ + T₂₈₂ + ... + T₄₅₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12001360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15871 + ... + 16609.

It is an arithmetic number, because the mean of its divisors is an integer number (412920).

Almost surely, 2^12001360 is an apocalyptic number.

12001360 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 12001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516800).

12001360 is an abundant number, since it is smaller than the sum of its proper divisors (21032240).

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

12001360 is a wasteful number, since it uses less digits than its factorization.

12001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 12001360 is about 3464.2979086678. The cubic root of 12001360 is about 228.9514971360.

Adding to 12001360 its reverse (6310021), we get a palindrome (18311381).

The spelling of 12001360 in words is "twelve million, one thousand, three hundred sixty".