2003120 has 80 divisors (see below), whose sum is σ = 5505600. Its totient is φ = 677376.

The previous prime is 2003119. The next prime is 2003149. The reversal of 2003120 is 213002.

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 (8).

It is a junction number, because it is equal to n+sod(n) for n = 2003098 and 2003107.

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, 27404 + ... + 27476.

It is an arithmetic number, because the mean of its divisors is an integer number (68820).

2^2003120 is an apocalyptic number.

2003120 is a gapful number since it is divisible by the number (20) 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 2003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752800).

2003120 is an abundant number, since it is smaller than the sum of its proper divisors (3502480).

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

2003120 is an equidigital number, since it uses as much as digits as its factorization.

2003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2003120 is about 1415.3162190832. The cubic root of 2003120 is about 126.0575868453.

Adding to 2003120 its reverse (213002), we get a palindrome (2216122).

The spelling of 2003120 in words is "two million, three thousand, one hundred twenty".