12131120 has 80 divisors (see below), whose sum is σ = 31069440. Its totient is φ = 4384512.

The previous prime is 12131113. The next prime is 12131159. The reversal of 12131120 is 2113121.

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

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 15 ways as a sum of consecutive naturals, for example, 34787 + ... + 35133.

It is an arithmetic number, because the mean of its divisors is an integer number (388368).

Almost surely, 2^12131120 is an apocalyptic number.

12131120 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 12131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534720).

12131120 is an abundant number, since it is smaller than the sum of its proper divisors (18938320).

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

12131120 is a wasteful number, since it uses less digits than its factorization.

12131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 12131120 is about 3482.9757392207. The cubic root of 12131120 is about 229.7736904382.

Adding to 12131120 its reverse (2113121), we get a palindrome (14244241).

The spelling of 12131120 in words is "twelve million, one hundred thirty-one thousand, one hundred twenty".