6312120 has 64 divisors (see below), whose sum is σ = 19768320. Its totient is φ = 1609344.

The previous prime is 6312071. The next prime is 6312133. The reversal of 6312120 is 212136.

6312120 = T₅₀₇ + T₅₀₈ + ... + T₅₅₁.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 6312120.

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, 1617 + ... + 3903.

It is an arithmetic number, because the mean of its divisors is an integer number (308880).

Almost surely, 2^6312120 is an apocalyptic number.

6312120 is a gapful number since it is divisible by the number (60) 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 6312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9884160).

6312120 is an abundant number, since it is smaller than the sum of its proper divisors (13456200).

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

6312120 is a wasteful number, since it uses less digits than its factorization.

6312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 6312120 is about 2512.3932813156. The cubic root of 6312120 is about 184.8098362486.

Adding to 6312120 its reverse (212136), we get a palindrome (6524256).

The spelling of 6312120 in words is "six million, three hundred twelve thousand, one hundred twenty".