1003320120 has 128 divisors (see below), whose sum is σ = 3372503040. Its totient is φ = 236643840.

The previous prime is 1003320119. The next prime is 1003320121. The reversal of 1003320120 is 210233001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1003320119) and next prime (1003320121).

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 = 1003320096 and 1003320105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003320121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38569 + ... + 59111.

It is an arithmetic number, because the mean of its divisors is an integer number (26347680).

Almost surely, 2^1003320120 is an apocalyptic number.

1003320120 is a gapful number since it is divisible by the number (10) 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 1003320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686251520).

1003320120 is an abundant number, since it is smaller than the sum of its proper divisors (2369182920).

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

1003320120 is a wasteful number, since it uses less digits than its factorization.

1003320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20605 (or 20601 counting only the distinct ones).

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

The square root of 1003320120 is about 31675.2288073820. The cubic root of 1003320120 is about 1001.1054841212.

Adding to 1003320120 its reverse (210233001), we get a palindrome (1213553121).

It can be divided in two parts, 1003 and 320120, that added together give a palindrome (321123).

The spelling of 1003320120 in words is "one billion, three million, three hundred twenty thousand, one hundred twenty".