12112080 has 80 divisors (see below), whose sum is σ = 37973760. Its totient is φ = 3193344.

The previous prime is 12112069. The next prime is 12112127. The reversal of 12112080 is 8021121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×12112080³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25929 + ... + 26391.

It is an arithmetic number, because the mean of its divisors is an integer number (474672).

Almost surely, 2^12112080 is an apocalyptic number.

12112080 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 12112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986880).

12112080 is an abundant number, since it is smaller than the sum of its proper divisors (25861680).

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

12112080 is a wasteful number, since it uses less digits than its factorization.

12112080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 12112080 is about 3480.2413709397. The cubic root of 12112080 is about 229.6534162484.

The spelling of 12112080 in words is "twelve million, one hundred twelve thousand, eighty".