120837320224320 has 448 divisors, whose sum is σ = 451596732364800. Its totient is φ = 27361820473344.

The previous prime is 120837320224319. The next prime is 120837320224381. The reversal of 120837320224320 is 23422023738021.

It is a tau number, because it is divible by the number of its divisors (448).

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, 33518127 + ... + 36947793.

Almost surely, 2^{120837320224320} is an apocalyptic number.

120837320224320 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 120837320224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225798366182400).

120837320224320 is an abundant number, since it is smaller than the sum of its proper divisors (330759412140480).

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

120837320224320 is a wasteful number, since it uses less digits than its factorization.

120837320224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429815 (or 3429791 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 120837320224320 in words is "one hundred twenty trillion, eight hundred thirty-seven billion, three hundred twenty million, two hundred twenty-four thousand, three hundred twenty".