6129120 has 72 divisors (see below), whose sum is σ = 19479096. Its totient is φ = 1619968.

The previous prime is 6129119. The next prime is 6129133. The reversal of 6129120 is 219216.

6129120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6129120² = 75132223948800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 54184 + ... + 54296.

It is an arithmetic number, because the mean of its divisors is an integer number (270543).

Almost surely, 2^6129120 is an apocalyptic number.

6129120 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 6129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739548).

6129120 is an abundant number, since it is smaller than the sum of its proper divisors (13349976).

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

6129120 is a wasteful number, since it uses less digits than its factorization.

6129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 6129120 is about 2475.7059599234. The cubic root of 6129120 is about 183.0063003594.

The spelling of 6129120 in words is "six million, one hundred twenty-nine thousand, one hundred twenty".