1320003120 has 240 divisors, whose sum is σ = 4408905312. Its totient is φ = 326430720.

The previous prime is 1320003089. The next prime is 1320003127. The reversal of 1320003120 is 213000231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1320003096 and 1320003105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320003127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4697380 + ... + 4697660.

Almost surely, 2^1320003120 is an apocalyptic number.

1320003120 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 1320003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204452656).

1320003120 is an abundant number, since it is smaller than the sum of its proper divisors (3088902192).

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

1320003120 is a wasteful number, since it uses less digits than its factorization.

1320003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 351 counting only the distinct ones).

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

The square root of 1320003120 is about 36331.8471867314. The cubic root of 1320003120 is about 1096.9621747584.

Adding to 1320003120 its reverse (213000231), we get a palindrome (1533003351).

The spelling of 1320003120 in words is "one billion, three hundred twenty million, three thousand, one hundred twenty".