120120450 has 48 divisors (see below), whose sum is σ = 300221856. Its totient is φ = 31782400.

The previous prime is 120120449. The next prime is 120120491. The reversal of 120120450 is 54021021.

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

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, 16594 + ... + 22706.

It is an arithmetic number, because the mean of its divisors is an integer number (6254622).

Almost surely, 2^120120450 is an apocalyptic number.

120120450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150110928).

120120450 is an abundant number, since it is smaller than the sum of its proper divisors (180101406).

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

120120450 is a wasteful number, since it uses less digits than its factorization.

120120450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 120120450 is about 10959.9475363708. The cubic root of 120120450 is about 493.4073903717.

Adding to 120120450 its reverse (54021021), we get a palindrome (174141471).

The spelling of 120120450 in words is "one hundred twenty million, one hundred twenty thousand, four hundred fifty".