120968800 has 72 divisors (see below), whose sum is σ = 298809000. Its totient is φ = 47815680.

The previous prime is 120968791. The next prime is 120968849. The reversal of 120968800 is 8869021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70351 + ... + 72049.

It is an arithmetic number, because the mean of its divisors is an integer number (4150125).

Almost surely, 2^120968800 is an apocalyptic number.

120968800 is a gapful number since it is divisible by the number (10) 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 120968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149404500).

120968800 is an abundant number, since it is smaller than the sum of its proper divisors (177840200).

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

120968800 is a wasteful number, since it uses less digits than its factorization.

120968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 120968800 is about 10998.5817267500. The cubic root of 120968800 is about 494.5662288445.

The spelling of 120968800 in words is "one hundred twenty million, nine hundred sixty-eight thousand, eight hundred".