120330304400 has 60 divisors (see below), whose sum is σ = 306099076932. Its totient is φ = 45300817920.

The previous prime is 120330304397. The next prime is 120330304411. The reversal of 120330304400 is 4403033021.

120330304400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 395532544 + 119934771856 = 19888^2 + 346316^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 8841017 + ... + 8854616.

Almost surely, 2^120330304400 is an apocalyptic number.

120330304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120330304400 is an abundant number, since it is smaller than the sum of its proper divisors (185768772532).

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

120330304400 is a wasteful number, since it uses less digits than its factorization.

120330304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17695668 (or 17695657 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 120330304400 its reverse (4403033021), we get a palindrome (124733337421).

The spelling of 120330304400 in words is "one hundred twenty billion, three hundred thirty million, three hundred four thousand, four hundred".