120033030300 has 72 divisors (see below), whose sum is σ = 347698745856. Its totient is φ = 31971648960.

The previous prime is 120033030287. The next prime is 120033030311. The reversal of 120033030300 is 3030330021.

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 120033030300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27087 + ... + 490713.

It is an arithmetic number, because the mean of its divisors is an integer number (4829149248).

Almost surely, 2^120033030300 is an apocalyptic number.

120033030300 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 120033030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173849372928).

120033030300 is an abundant number, since it is smaller than the sum of its proper divisors (227665715556).

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

120033030300 is a wasteful number, since it uses less digits than its factorization.

120033030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464507 (or 464500 counting only the distinct ones).

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

Adding to 120033030300 its reverse (3030330021), we get a palindrome (123063360321).

The spelling of 120033030300 in words is "one hundred twenty billion, thirty-three million, thirty thousand, three hundred".