3132120 has 64 divisors (see below), whose sum is σ = 9630720. Its totient is φ = 814464.

The previous prime is 3132119. The next prime is 3132121. The reversal of 3132120 is 212313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3132119) and next prime (3132121).

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 = 3132096 and 3132105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 5463.

It is an arithmetic number, because the mean of its divisors is an integer number (150480).

Almost surely, 2^3132120 is an apocalyptic number.

3132120 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 3132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815360).

3132120 is an abundant number, since it is smaller than the sum of its proper divisors (6498600).

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

3132120 is a wasteful number, since it uses less digits than its factorization.

3132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3132120 is about 1769.7796473008. The cubic root of 3132120 is about 146.3118373903.

Adding to 3132120 its reverse (212313), we get a palindrome (3344433).

The spelling of 3132120 in words is "three million, one hundred thirty-two thousand, one hundred twenty".