120320305352520 has 256 divisors, whose sum is σ = 445071785840640. Its totient is φ = 25339850984448.

The previous prime is 120320305352519. The next prime is 120320305352537. The reversal of 120320305352520 is 25253503023021.

It is a super-2 number, since 2×120320305352520² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4098372 + ... + 16044851.

It is an arithmetic number, because the mean of its divisors is an integer number (1738561663440).

Almost surely, 2^{120320305352520} is an apocalyptic number.

120320305352520 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 120320305352520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222535892920320).

120320305352520 is an abundant number, since it is smaller than the sum of its proper divisors (324751480488120).

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

120320305352520 is a wasteful number, since it uses less digits than its factorization.

120320305352520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20143804 (or 20143800 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

Adding to 120320305352520 its reverse (25253503023021), we get a palindrome (145573808375541).

The spelling of 120320305352520 in words is "one hundred twenty trillion, three hundred twenty billion, three hundred five million, three hundred fifty-two thousand, five hundred twenty".