12661140 has 48 divisors (see below), whose sum is σ = 35864640. Its totient is φ = 3336960.

The previous prime is 12661123. The next prime is 12661147. The reversal of 12661140 is 4116621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12661147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4155 + ... + 6525.

It is an arithmetic number, because the mean of its divisors is an integer number (747180).

Almost surely, 2^12661140 is an apocalyptic number.

12661140 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 12661140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17932320).

12661140 is an abundant number, since it is smaller than the sum of its proper divisors (23203500).

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

12661140 is a wasteful number, since it uses less digits than its factorization.

12661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12661140 is about 3558.2495696620. The cubic root of 12661140 is about 233.0724476463.

Adding to 12661140 its reverse (4116621), we get a palindrome (16777761).

The spelling of 12661140 in words is "twelve million, six hundred sixty-one thousand, one hundred forty".