120016960000 has 400 divisors, whose sum is σ = 345919020480. Its totient is φ = 40734720000.

The previous prime is 120016959989. The next prime is 120016960039. The reversal of 120016960000 is 69610021.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 293439796 + ... + 293440204.

Almost surely, 2^120016960000 is an apocalyptic number.

120016960000 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 120016960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172959510240).

120016960000 is an abundant number, since it is smaller than the sum of its proper divisors (225902060480).

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

120016960000 is an frugal number, since it uses more digits than its factorization.

120016960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 120016960000 in words is "one hundred twenty billion, sixteen million, nine hundred sixty thousand".