120832000 has 120 divisors (see below), whose sum is σ = 306699120. Its totient is φ = 47513600.

The previous prime is 120831979. The next prime is 120832003. The reversal of 120832000 is 238021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120832003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047971 + ... + 2048029.

It is an arithmetic number, because the mean of its divisors is an integer number (2555826).

Almost surely, 2^120832000 is an apocalyptic number.

120832000 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 120832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153349560).

120832000 is an abundant number, since it is smaller than the sum of its proper divisors (185867120).

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

120832000 is an frugal number, since it uses more digits than its factorization.

120832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 120832000 is about 10992.3609838833. The cubic root of 120832000 is about 494.3797284693.

The spelling of 120832000 in words is "one hundred twenty million, eight hundred thirty-two thousand".