120020313440 has 96 divisors (see below), whose sum is σ = 290288740896. Its totient is φ = 46867968000.

The previous prime is 120020313433. The next prime is 120020313451. The reversal of 120020313440 is 44313020021.

120020313440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20643974 + ... + 20649786.

It is an arithmetic number, because the mean of its divisors is an integer number (3023841051).

Almost surely, 2^120020313440 is an apocalyptic number.

120020313440 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 120020313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145144370448).

120020313440 is an abundant number, since it is smaller than the sum of its proper divisors (170268427456).

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

120020313440 is a wasteful number, since it uses less digits than its factorization.

120020313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8872 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 120020313440 its reverse (44313020021), we get a palindrome (164333333461).

The spelling of 120020313440 in words is "one hundred twenty billion, twenty million, three hundred thirteen thousand, four hundred forty".