12031120 has 40 divisors (see below), whose sum is σ = 28268280. Its totient is φ = 4761600.

The previous prime is 12031111. The next prime is 12031133. The reversal of 12031120 is 2113021.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 9634816 = 1548^2 + 3104^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12031097 and 12031106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7336 + ... + 8824.

It is an arithmetic number, because the mean of its divisors is an integer number (706707).

Almost surely, 2^12031120 is an apocalyptic number.

12031120 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 12031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134140).

12031120 is an abundant number, since it is smaller than the sum of its proper divisors (16237160).

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

12031120 is a wasteful number, since it uses less digits than its factorization.

12031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12031120 is about 3468.5904918281. The cubic root of 12031120 is about 229.1405860494.

Adding to 12031120 its reverse (2113021), we get a palindrome (14144141).

The spelling of 12031120 in words is "twelve million, thirty-one thousand, one hundred twenty".