120120101019968 has 112 divisors (see below), whose sum is σ = 273003762555264. Its totient is φ = 51368944435200.

The previous prime is 120120101019967. The next prime is 120120101020039. The reversal of 120120101019968 is 869910101021021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120101019967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386330168 + ... + 386640968.

Almost surely, 2^{120120101019968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120101019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136501881277632).

120120101019968 is an abundant number, since it is smaller than the sum of its proper divisors (152883661535296).

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

120120101019968 is an equidigital number, since it uses as much as digits as its factorization.

120120101019968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312680 (or 312670 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 41.

The spelling of 120120101019968 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred one million, nineteen thousand, nine hundred sixty-eight".