3000120 has 64 divisors (see below), whose sum is σ = 9400320. Its totient is φ = 764544.

The previous prime is 3000103. The next prime is 3000131. The reversal of 3000120 is 210003.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 3000099 and 3000108.

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, 2217 + ... + 3303.

It is an arithmetic number, because the mean of its divisors is an integer number (146880).

Almost surely, 2^3000120 is an apocalyptic number.

3000120 is a gapful number since it is divisible by the number (30) 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 3000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700160).

3000120 is an abundant number, since it is smaller than the sum of its proper divisors (6400200).

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

3000120 is a wasteful number, since it uses less digits than its factorization.

3000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 3000120 is about 1732.0854482386. The cubic root of 3000120 is about 144.2268800045.

Adding to 3000120 its reverse (210003), we get a palindrome (3210123).

It can be divided in two parts, 3000 and 120, that multiplied together give a square (360000 = 600²).

The spelling of 3000120 in words is "three million, one hundred twenty", and thus it is an aban number.