6123120 has 80 divisors (see below), whose sum is σ = 19617792. Its totient is φ = 1578240.

The previous prime is 6123067. The next prime is 6123127. The reversal of 6123120 is 213216.

6123120 = T₂₀₀ + T₂₀₁ + ... + T₃₅₄.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6123120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6123127) 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, 7029 + ... + 7851.

Almost surely, 2^6123120 is an apocalyptic number.

6123120 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 6123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9808896).

6123120 is an abundant number, since it is smaller than the sum of its proper divisors (13494672).

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

6123120 is a wasteful number, since it uses less digits than its factorization.

6123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

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

The square root of 6123120 is about 2474.4938876465. The cubic root of 6123120 is about 182.9465638720.

Adding to 6123120 its reverse (213216), we get a palindrome (6336336).

It can be divided in two parts, 6 and 123120, that multiplied together give a triangular number (738720 = T₁₂₁₅).

The spelling of 6123120 in words is "six million, one hundred twenty-three thousand, one hundred twenty".