120322400 has 144 divisors (see below), whose sum is σ = 325947888. Its totient is φ = 43366400.

The previous prime is 120322381. The next prime is 120322403. The reversal of 120322400 is 4223021.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120322403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064744 + ... + 1064856.

It is an arithmetic number, because the mean of its divisors is an integer number (2263527).

Almost surely, 2^120322400 is an apocalyptic number.

120322400 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 120322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162973944).

120322400 is an abundant number, since it is smaller than the sum of its proper divisors (205625488).

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

120322400 is a wasteful number, since it uses less digits than its factorization.

120322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 120322400 is about 10969.1567588398. The cubic root of 120322400 is about 493.6837458502.

Adding to 120322400 its reverse (4223021), we get a palindrome (124545421).

The spelling of 120322400 in words is "one hundred twenty million, three hundred twenty-two thousand, four hundred".