120440005920 has 768 divisors, whose sum is σ = 489692044800. Its totient is φ = 27391426560.

The previous prime is 120440005913. The next prime is 120440005951. The reversal of 120440005920 is 29500044021.

120440005920 is a `hidden beast` number, since 1 + 204 + 400 + 0 + 59 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 43747264 + ... + 43750016.

It is an arithmetic number, because the mean of its divisors is an integer number (637619850).

Almost surely, 2^120440005920 is an apocalyptic number.

120440005920 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 120440005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244846022400).

120440005920 is an abundant number, since it is smaller than the sum of its proper divisors (369252038880).

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

120440005920 is a wasteful number, since it uses less digits than its factorization.

120440005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 120440005920 its reverse (29500044021), we get a palindrome (149940049941).

The spelling of 120440005920 in words is "one hundred twenty billion, four hundred forty million, five thousand, nine hundred twenty".