12541140 has 108 divisors (see below), whose sum is σ = 40357044. Its totient is φ = 3151872.

The previous prime is 12541129. The next prime is 12541147. The reversal of 12541140 is 4114521.

It can be written as a sum of positive squares in 2 ways, for example, as 3755844 + 8785296 = 1938^2 + 2964^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12541147) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64884 + ... + 65076.

Almost surely, 2^12541140 is an apocalyptic number.

12541140 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 12541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20178522).

12541140 is an abundant number, since it is smaller than the sum of its proper divisors (27815904).

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

12541140 is a wasteful number, since it uses less digits than its factorization.

12541140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12541140 is about 3541.3472012781. The cubic root of 12541140 is about 232.3337694893. Note that the first 3 decimals are identical.

Adding to 12541140 its reverse (4114521), we get a palindrome (16655661).

The spelling of 12541140 in words is "twelve million, five hundred forty-one thousand, one hundred forty".