12141080 has 64 divisors (see below), whose sum is σ = 31553280. Its totient is φ = 4118400.

The previous prime is 12141047. The next prime is 12141083. The reversal of 12141080 is 8014121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141083) 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, 36515 + ... + 36845.

It is an arithmetic number, because the mean of its divisors is an integer number (493020).

Almost surely, 2^12141080 is an apocalyptic number.

12141080 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 12141080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776640).

12141080 is an abundant number, since it is smaller than the sum of its proper divisors (19412200).

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

12141080 is a wasteful number, since it uses less digits than its factorization.

12141080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 12141080 is about 3484.4052577162. The cubic root of 12141080 is about 229.8365568490.

The spelling of 12141080 in words is "twelve million, one hundred forty-one thousand, eighty".