120333400 has 96 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 43164800.

The previous prime is 120333397. The next prime is 120333431. The reversal of 120333400 is 4333021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182271 + ... + 182929.

It is an arithmetic number, because the mean of its divisors is an integer number (3222450).

Almost surely, 2^120333400 is an apocalyptic number.

120333400 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 120333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

120333400 is an abundant number, since it is smaller than the sum of its proper divisors (189021800).

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

120333400 is a wasteful number, since it uses less digits than its factorization.

120333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 120333400 is about 10969.6581532881. The cubic root of 120333400 is about 493.6987897537.

Adding to 120333400 its reverse (4333021), we get a palindrome (124666421).

The spelling of 120333400 in words is "one hundred twenty million, three hundred thirty-three thousand, four hundred".