120300333000 has 128 divisors (see below), whose sum is σ = 376346805120. Its totient is φ = 31993785600.

The previous prime is 120300332969. The next prime is 120300333011. The reversal of 120300333000 is 333003021.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1065247 + ... + 1172753.

It is an arithmetic number, because the mean of its divisors is an integer number (2940209415).

Almost surely, 2^120300333000 is an apocalyptic number.

120300333000 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 120300333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188173402560).

120300333000 is an abundant number, since it is smaller than the sum of its proper divisors (256046472120).

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

120300333000 is a wasteful number, since it uses less digits than its factorization.

120300333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107904 (or 107890 counting only the distinct ones).

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

Adding to 120300333000 its reverse (333003021), we get a palindrome (120633336021).

The spelling of 120300333000 in words is "one hundred twenty billion, three hundred million, three hundred thirty-three thousand".