12148560 has 120 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 3161856.

The previous prime is 12148537. The next prime is 12148561. The reversal of 12148560 is 6584121.

12148560 is a `hidden beast` number, since 121 + 485 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12148561) 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 23 ways as a sum of consecutive naturals, for example, 33661 + ... + 34019.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 2^12148560 is an apocalyptic number.

12148560 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 12148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

12148560 is an abundant number, since it is smaller than the sum of its proper divisors (29634480).

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

12148560 is a wasteful number, since it uses less digits than its factorization.

12148560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12148560 is about 3485.4784463542. The cubic root of 12148560 is about 229.8837471734.

The spelling of 12148560 in words is "twelve million, one hundred forty-eight thousand, five hundred sixty".