120938603968 has 224 divisors, whose sum is σ = 303445029888. Its totient is φ = 46542643200.

The previous prime is 120938603893. The next prime is 120938603969. The reversal of 120938603968 is 869306839021.

120938603968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×120938603968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120938603969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136345221 + ... + 136346107.

It is an arithmetic number, because the mean of its divisors is an integer number (1354665312).

Almost surely, 2^120938603968 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 120938603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151722514944).

120938603968 is an abundant number, since it is smaller than the sum of its proper divisors (182506425920).

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

120938603968 is a wasteful number, since it uses less digits than its factorization.

120938603968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 120938603968 in words is "one hundred twenty billion, nine hundred thirty-eight million, six hundred three thousand, nine hundred sixty-eight".