120302400 has 168 divisors, whose sum is σ = 401385024. Its totient is φ = 31539200.

The previous prime is 120302393. The next prime is 120302419. The reversal of 120302400 is 4203021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340624 + ... + 340976.

Almost surely, 2^120302400 is an apocalyptic number.

120302400 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 120302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200692512).

120302400 is an abundant number, since it is smaller than the sum of its proper divisors (281082624).

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

120302400 is a wasteful number, since it uses less digits than its factorization.

120302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 120302400 is about 10968.2450738484. The cubic root of 120302400 is about 493.6563909492.

Adding to 120302400 its reverse (4203021), we get a palindrome (124505421).

The spelling of 120302400 in words is "one hundred twenty million, three hundred two thousand, four hundred".