12057080 has 96 divisors (see below), whose sum is σ = 33156000. Its totient is φ = 3864576.

The previous prime is 12057053. The next prime is 12057091. The reversal of 12057080 is 8075021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80846 + ... + 80994.

It is an arithmetic number, because the mean of its divisors is an integer number (345375).

Almost surely, 2^12057080 is an apocalyptic number.

12057080 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 12057080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16578000).

12057080 is an abundant number, since it is smaller than the sum of its proper divisors (21098920).

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

12057080 is a wasteful number, since it uses less digits than its factorization.

12057080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 12057080 is about 3472.3306294188. The cubic root of 12057080 is about 229.3052760730.

The spelling of 12057080 in words is "twelve million, fifty-seven thousand, eighty".