120178879728300 has 432 divisors, whose sum is σ = 392717044687968. Its totient is φ = 30718098432000.

The previous prime is 120178879728293. The next prime is 120178879728329. The reversal of 120178879728300 is 3827978871021.

120178879728300 is a `hidden beast` number, since 1 + 20 + 178 + 8 + 79 + 72 + 8 + 300 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 441547054 + ... + 441819146.

It is an arithmetic number, because the mean of its divisors is an integer number (909067233074).

Almost surely, 2^{120178879728300} is an apocalyptic number.

120178879728300 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 120178879728300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196358522343984).

120178879728300 is an abundant number, since it is smaller than the sum of its proper divisors (272538164959668).

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

120178879728300 is a wasteful number, since it uses less digits than its factorization.

120178879728300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272370 (or 272360 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 120178879728300 in words is "one hundred twenty trillion, one hundred seventy-eight billion, eight hundred seventy-nine million, seven hundred twenty-eight thousand, three hundred".