12058560 has 168 divisors, whose sum is σ = 42793920. Its totient is φ = 3115008.

The previous prime is 12058549. The next prime is 12058573. The reversal of 12058560 is 6585021.

12058560 is a `hidden beast` number, since 1 + 20 + 585 + 60 = 666.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152601 + ... + 152679.

Almost surely, 2^12058560 is an apocalyptic number.

12058560 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 12058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

12058560 is an abundant number, since it is smaller than the sum of its proper divisors (30735360).

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

12058560 is a wasteful number, since it uses less digits than its factorization.

12058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 12058560 is about 3472.5437362257. The cubic root of 12058560 is about 229.3146580550.

The spelling of 12058560 in words is "twelve million, fifty-eight thousand, five hundred sixty".