120056960448000 has 2880 divisors, whose sum is σ = 494839937592000. Its totient is φ = 27802297958400.

The previous prime is 120056960447993. The next prime is 120056960448011. The reversal of 120056960448000 is 844069650021.

120056960448000 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 569 + 6 + 0 + 4 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 344002751826 + ... + 344002752174.

It is an arithmetic number, because the mean of its divisors is an integer number (171819422775).

Almost surely, 2^{120056960448000} is an apocalyptic number.

120056960448000 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 120056960448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247419968796000).

120056960448000 is an abundant number, since it is smaller than the sum of its proper divisors (374782977144000).

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

120056960448000 is a wasteful number, since it uses less digits than its factorization.

120056960448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 120056960448000 in words is "one hundred twenty trillion, fifty-six billion, nine hundred sixty million, four hundred forty-eight thousand".