120097968 has 80 divisors (see below), whose sum is σ = 327883776. Its totient is φ = 37820160.

The previous prime is 120097909. The next prime is 120097987. The reversal of 120097968 is 869790021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63046 + ... + 64922.

Almost surely, 2^120097968 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 120097968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163941888).

120097968 is an abundant number, since it is smaller than the sum of its proper divisors (207785808).

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

120097968 is a wasteful number, since it uses less digits than its factorization.

120097968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 120097968 is about 10958.9218447802. The cubic root of 120097968 is about 493.3766060573.

The spelling of 120097968 in words is "one hundred twenty million, ninety-seven thousand, nine hundred sixty-eight".