12056080 has 40 divisors (see below), whose sum is σ = 28795032. Its totient is φ = 4690944.

The previous prime is 12056059. The next prime is 12056081. The reversal of 12056080 is 8065021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 10837264 = 1104^2 + 3292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12056081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 924 + ... + 4996.

Almost surely, 2^12056080 is an apocalyptic number.

12056080 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 12056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397516).

12056080 is an abundant number, since it is smaller than the sum of its proper divisors (16738952).

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

12056080 is a wasteful number, since it uses less digits than its factorization.

12056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 12056080 is about 3472.1866309287. The cubic root of 12056080 is about 229.2989364613.

The spelling of 12056080 in words is "twelve million, fifty-six thousand, eighty".