120353234400 has 1152 divisors, whose sum is σ = 521486622720. Its totient is φ = 26537932800.

The previous prime is 120353234389. The next prime is 120353234413. The reversal of 120353234400 is 4432353021.

120353234400 is a `hidden beast` number, since 1 + 20 + 3 + 5 + 3 + 234 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 379663042 + ... + 379663358.

It is an arithmetic number, because the mean of its divisors is an integer number (452679360).

Almost surely, 2^120353234400 is an apocalyptic number.

120353234400 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 120353234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260743311360).

120353234400 is an abundant number, since it is smaller than the sum of its proper divisors (401133388320).

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

120353234400 is an equidigital number, since it uses as much as digits as its factorization.

120353234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 120353234400 its reverse (4432353021), we get a palindrome (124785587421).

The spelling of 120353234400 in words is "one hundred twenty billion, three hundred fifty-three million, two hundred thirty-four thousand, four hundred".