12112000 has 64 divisors (see below), whose sum is σ = 30153240. Its totient is φ = 4838400.

The previous prime is 12111997. The next prime is 12112013. The reversal of 12112000 is 21121.

It can be written as a sum of positive squares in 4 ways, for example, as 4227136 + 7884864 = 2056^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15622 + ... + 16378.

Almost surely, 2^12112000 is an apocalyptic number.

12112000 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 12112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076620).

12112000 is an abundant number, since it is smaller than the sum of its proper divisors (18041240).

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

12112000 is an frugal number, since it uses more digits than its factorization.

12112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 12112000 is about 3480.2298774650. The cubic root of 12112000 is about 229.6529106289.

Adding to 12112000 its reverse (21121), we get a palindrome (12133121).

It can be divided in two parts, 121 and 12000, that added together give a palindrome (12121).

The spelling of 12112000 in words is "twelve million, one hundred twelve thousand".