12126640 has 40 divisors (see below), whose sum is σ = 29172240. Its totient is φ = 4682496.

The previous prime is 12126637. The next prime is 12126643. The reversal of 12126640 is 4662121.

It is an interprime number because it is at equal distance from previous prime (12126637) and next prime (12126643).

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

It is not an unprimeable number, because it can be changed into a prime (12126643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294 + ... + 4933.

It is an arithmetic number, because the mean of its divisors is an integer number (729306).

Almost surely, 2^12126640 is an apocalyptic number.

12126640 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 12126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586120).

12126640 is an abundant number, since it is smaller than the sum of its proper divisors (17045600).

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

12126640 is a wasteful number, since it uses less digits than its factorization.

12126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12126640 is about 3482.3325516096. The cubic root of 12126640 is about 229.7454019571.

Adding to 12126640 its reverse (4662121), we get a palindrome (16788761).

The spelling of 12126640 in words is "twelve million, one hundred twenty-six thousand, six hundred forty".