12114880 has 84 divisors (see below), whose sum is σ = 30879288. Its totient is φ = 4526080.

The previous prime is 12114871. The next prime is 12114889. The reversal of 12114880 is 8841121.

12114880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12114871) and next prime (12114889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92415 + ... + 92545.

Almost surely, 2^12114880 is an apocalyptic number.

12114880 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 12114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439644).

12114880 is an abundant number, since it is smaller than the sum of its proper divisors (18764408).

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

12114880 is a wasteful number, since it uses less digits than its factorization.

12114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 12114880 is about 3480.6436186430. The cubic root of 12114880 is about 229.6711115306.

The spelling of 12114880 in words is "twelve million, one hundred fourteen thousand, eight hundred eighty".