120491884800 has 1728 divisors, whose sum is σ = 543085240320. Its totient is φ = 25546752000.

The previous prime is 120491884787. The next prime is 120491884829. The reversal of 120491884800 is 8488194021.

120491884800 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 91 + 88 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1697068765 + ... + 1697068835.

It is an arithmetic number, because the mean of its divisors is an integer number (314285440).

Almost surely, 2^120491884800 is an apocalyptic number.

120491884800 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 120491884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271542620160).

120491884800 is an abundant number, since it is smaller than the sum of its proper divisors (422593355520).

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

120491884800 is a wasteful number, since it uses less digits than its factorization.

120491884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 120491884800 in words is "one hundred twenty billion, four hundred ninety-one million, eight hundred eighty-four thousand, eight hundred".