6412120 has 128 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 2004480.

The previous prime is 6412097. The next prime is 6412121. The reversal of 6412120 is 212146.

It is a super-2 number, since 2×6412120² = 82230565788800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6412094 and 6412103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108651 + ... + 108709.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 2^6412120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

6412120 is an abundant number, since it is smaller than the sum of its proper divisors (11731880).

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

6412120 is a wasteful number, since it uses less digits than its factorization.

6412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 6412120 is about 2532.2164204507. The cubic root of 6412120 is about 185.7806795577.

Adding to 6412120 its reverse (212146), we get a palindrome (6624266).

The spelling of 6412120 in words is "six million, four hundred twelve thousand, one hundred twenty".