120348517968 has 240 divisors, whose sum is σ = 387763118080. Its totient is φ = 34132783104.

The previous prime is 120348517921. The next prime is 120348517981. The reversal of 120348517968 is 869715843021.

120348517968 is a `hidden beast` number, since 1 + 2 + 0 + 34 + 8 + 517 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94095153 + ... + 94096431.

It is a 1-persistent number, because it is pandigital, but 2⋅120348517968 = 240697035936 is not.

Almost surely, 2^120348517968 is an apocalyptic number.

120348517968 is a gapful number since it is divisible by the number (18) 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 120348517968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881559040).

120348517968 is an abundant number, since it is smaller than the sum of its proper divisors (267414600112).

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

120348517968 is a wasteful number, since it uses less digits than its factorization.

120348517968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 120348517968 in words is "one hundred twenty billion, three hundred forty-eight million, five hundred seventeen thousand, nine hundred sixty-eight".