12140560 has 40 divisors (see below), whose sum is σ = 29205720. Its totient is φ = 4687872.

The previous prime is 12140549. The next prime is 12140593. The reversal of 12140560 is 6504121.

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 7929856 = 2052^2 + 2816^2 .

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

It is a super-2 number, since 2×12140560² = 294786394227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297 + ... + 4936.

It is an arithmetic number, because the mean of its divisors is an integer number (730143).

Almost surely, 2^12140560 is an apocalyptic number.

12140560 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 12140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602860).

12140560 is an abundant number, since it is smaller than the sum of its proper divisors (17065160).

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

12140560 is a wasteful number, since it uses less digits than its factorization.

12140560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 12140560 is about 3484.3306387311. The cubic root of 12140560 is about 229.8332755178.

Adding to 12140560 its reverse (6504121), we get a palindrome (18644681).

The spelling of 12140560 in words is "twelve million, one hundred forty thousand, five hundred sixty".