6126120 has 384 divisors, whose sum is σ = 28304640. Its totient is φ = 1105920.

The previous prime is 6126091. The next prime is 6126139. The reversal of 6126120 is 216216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6126093 and 6126102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360352 + ... + 360368.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

Almost surely, 2^6126120 is an apocalyptic number.

6126120 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 6126120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

6126120 is an abundant number, since it is smaller than the sum of its proper divisors (22178520).

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

6126120 is a wasteful number, since it uses less digits than its factorization.

6126120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6126120 is about 2475.0999979799. The cubic root of 6126120 is about 182.9764369912.

The spelling of 6126120 in words is "six million, one hundred twenty-six thousand, one hundred twenty".