120422400 has 288 divisors, whose sum is σ = 463201380. Its totient is φ = 27525120.

The previous prime is 120422389. The next prime is 120422431. The reversal of 120422400 is 4224021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120422400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17203197 + ... + 17203203.

Almost surely, 2^120422400 is an apocalyptic number.

120422400 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 120422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231600690).

120422400 is an abundant number, since it is smaller than the sum of its proper divisors (342778980).

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

120422400 is an frugal number, since it uses more digits than its factorization.

120422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 120422400 is about 10973.7140476686. The cubic root of 120422400 is about 493.8204749054.

Adding to 120422400 its reverse (4224021), we get a palindrome (124646421).

The spelling of 120422400 in words is "one hundred twenty million, four hundred twenty-two thousand, four hundred".