2003103120 has 320 divisors, whose sum is σ = 6942412800. Its totient is φ = 475453440.

The previous prime is 2003103079. The next prime is 2003103121. The reversal of 2003103120 is 213013002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2003103096 and 2003103105.

It is not an unprimeable number, because it can be changed into a prime (2003103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7446346 + ... + 7446614.

It is an arithmetic number, because the mean of its divisors is an integer number (21695040).

Almost surely, 2^2003103120 is an apocalyptic number.

2003103120 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 2003103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471206400).

2003103120 is an abundant number, since it is smaller than the sum of its proper divisors (4939309680).

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

2003103120 is a wasteful number, since it uses less digits than its factorization.

2003103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2003103120 is about 44756.0400393064. The cubic root of 2003103120 is about 1260.5723275469.

Adding to 2003103120 its reverse (213013002), we get a palindrome (2216116122).

The spelling of 2003103120 in words is "two billion, three million, one hundred three thousand, one hundred twenty".