120101195907968 has 192 divisors, whose sum is σ = 263808994176000. Its totient is φ = 54422292587520.

The previous prime is 120101195907967. The next prime is 120101195907983. The reversal of 120101195907968 is 869709591101021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101195907967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6744596921 + ... + 6744614727.

It is an arithmetic number, because the mean of its divisors is an integer number (1374005178000).

Almost surely, 2^{120101195907968} 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 120101195907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131904497088000).

120101195907968 is an abundant number, since it is smaller than the sum of its proper divisors (143707798268032).

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

120101195907968 is a wasteful number, since it uses less digits than its factorization.

120101195907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19169 (or 19146 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 59.

The spelling of 120101195907968 in words is "one hundred twenty trillion, one hundred one billion, one hundred ninety-five million, nine hundred seven thousand, nine hundred sixty-eight".