120049920 has 216 divisors, whose sum is σ = 440510616. Its totient is φ = 30081024.

The previous prime is 120049907. The next prime is 120049921. The reversal of 120049920 is 29940021.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 118722816 = 1152^2 + 10896^2 .

It is not an unprimeable number, because it can be changed into a prime (120049921) by changing a digit.

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, 195534 + ... + 196146.

It is an arithmetic number, because the mean of its divisors is an integer number (2039401).

Almost surely, 2^120049920 is an apocalyptic number.

120049920 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 120049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220255308).

120049920 is an abundant number, since it is smaller than the sum of its proper divisors (320460696).

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

120049920 is a wasteful number, since it uses less digits than its factorization.

120049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 120049920 is about 10956.7294390251. The cubic root of 120049920 is about 493.3108016655.

Adding to 120049920 its reverse (29940021), we get a palindrome (149989941).

The spelling of 120049920 in words is "one hundred twenty million, forty-nine thousand, nine hundred twenty".