120812832000 has 864 divisors, whose sum is σ = 507376396800. Its totient is φ = 27591782400.

The previous prime is 120812831963. The next prime is 120812832001. The reversal of 120812832000 is 238218021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120812832001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98783389 + ... + 98784611.

It is an arithmetic number, because the mean of its divisors is an integer number (587241200).

Almost surely, 2^120812832000 is an apocalyptic number.

120812832000 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 120812832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253688198400).

120812832000 is an abundant number, since it is smaller than the sum of its proper divisors (386563564800).

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

120812832000 is an equidigital number, since it uses as much as digits as its factorization.

120812832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 120812832000 in words is "one hundred twenty billion, eight hundred twelve million, eight hundred thirty-two thousand".