4131120 has 80 divisors (see below), whose sum is σ = 14641920. Its totient is φ = 943872.

The previous prime is 4131109. The next prime is 4131223. The reversal of 4131120 is 211314.

It is a happy number.

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 = 4131096 and 4131105.

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, 451 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (183024).

Almost surely, 2^4131120 is an apocalyptic number.

4131120 is a gapful number since it is divisible by the number (40) 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 4131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320960).

4131120 is an abundant number, since it is smaller than the sum of its proper divisors (10510800).

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

4131120 is a wasteful number, since it uses less digits than its factorization.

4131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2476 counting only the distinct ones).

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

The square root of 4131120 is about 2032.5156825963. The cubic root of 4131120 is about 160.4559908841.

Adding to 4131120 its reverse (211314), we get a palindrome (4342434).

The spelling of 4131120 in words is "four million, one hundred thirty-one thousand, one hundred twenty".