3141120 has 80 divisors (see below), whose sum is σ = 10066320. Its totient is φ = 835584.

The previous prime is 3141097. The next prime is 3141139. The reversal of 3141120 is 211413.

It is a happy number.

3141120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3141096 and 3141105.

It is a congruent number.

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, 7476 + ... + 7884.

It is an arithmetic number, because the mean of its divisors is an integer number (125829).

Almost surely, 2^3141120 is an apocalyptic number.

3141120 is a gapful number since it is divisible by the number (30) 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 3141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033160).

3141120 is an abundant number, since it is smaller than the sum of its proper divisors (6925200).

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

3141120 is an equidigital number, since it uses as much as digits as its factorization.

3141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3141120 is about 1772.3205127741. The cubic root of 3141120 is about 146.4518434443.

Adding to 3141120 its reverse (211413), we get a palindrome (3352533).

The spelling of 3141120 in words is "three million, one hundred forty-one thousand, one hundred twenty".