120432711305280 has 1344 divisors, whose sum is σ = 446854718338560. Its totient is φ = 27403679170560.

The previous prime is 120432711305279. The next prime is 120432711305317. The reversal of 120432711305280 is 82503117234021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32575792392 + ... + 32575796088.

It is an arithmetic number, because the mean of its divisors is an integer number (332481189240).

Almost surely, 2^{120432711305280} is an apocalyptic number.

120432711305280 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 120432711305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223427359169280).

120432711305280 is an abundant number, since it is smaller than the sum of its proper divisors (326422007033280).

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

120432711305280 is a wasteful number, since it uses less digits than its factorization.

120432711305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 120432711305280 in words is "one hundred twenty trillion, four hundred thirty-two billion, seven hundred eleven million, three hundred five thousand, two hundred eighty".