120303003300 has 144 divisors (see below), whose sum is σ = 349559001792. Its totient is φ = 31944550400.

The previous prime is 120303003299. The next prime is 120303003319. The reversal of 120303003300 is 3300303021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120303003300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126235624 + ... + 126236576.

It is an arithmetic number, because the mean of its divisors is an integer number (2427493068).

Almost surely, 2^120303003300 is an apocalyptic number.

120303003300 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 120303003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174779500896).

120303003300 is an abundant number, since it is smaller than the sum of its proper divisors (229255998492).

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

120303003300 is a wasteful number, since it uses less digits than its factorization.

120303003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 120303003300 its reverse (3300303021), we get a palindrome (123603306321).

The spelling of 120303003300 in words is "one hundred twenty billion, three hundred three million, three thousand, three hundred".