120303333200 has 120 divisors (see below), whose sum is σ = 299516599800. Its totient is φ = 46380974080.

The previous prime is 120303333193. The next prime is 120303333223. The reversal of 120303333200 is 2333303021.

It can be written as a sum of positive squares in 12 ways, for example, as 66838795024 + 53464538176 = 258532^2 + 231224^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6870056 + ... + 6887544.

It is an arithmetic number, because the mean of its divisors is an integer number (2495971665).

Almost surely, 2^120303333200 is an apocalyptic number.

120303333200 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 120303333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149758299900).

120303333200 is an abundant number, since it is smaller than the sum of its proper divisors (179213266600).

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

120303333200 is a wasteful number, since it uses less digits than its factorization.

120303333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18129 (or 18118 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 120303333200 its reverse (2333303021), we get a palindrome (122636636221).

The spelling of 120303333200 in words is "one hundred twenty billion, three hundred three million, three hundred thirty-three thousand, two hundred".