120443313502420 has 192 divisors, whose sum is σ = 281629825162560. Its totient is φ = 43055360409600.

The previous prime is 120443313502367. The next prime is 120443313502493. The reversal of 120443313502420 is 24205313344021.

It can be written as a sum of positive squares in 32 ways, for example, as 40488456206916 + 79954857295504 = 6363054^2 + 8941748^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5377642662 + ... + 5377665058.

It is an arithmetic number, because the mean of its divisors is an integer number (1466822006055).

Almost surely, 2^{120443313502420} is an apocalyptic number.

120443313502420 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 120443313502420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140814912581280).

120443313502420 is an abundant number, since it is smaller than the sum of its proper divisors (161186511660140).

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

120443313502420 is a wasteful number, since it uses less digits than its factorization.

120443313502420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31454 (or 31452 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 120443313502420 its reverse (24205313344021), we get a palindrome (144648626846441).

The spelling of 120443313502420 in words is "one hundred twenty trillion, four hundred forty-three billion, three hundred thirteen million, five hundred two thousand, four hundred twenty".