120566188800 has 432 divisors, whose sum is σ = 446723803680. Its totient is φ = 31815106560.

The previous prime is 120566188793. The next prime is 120566188811. The reversal of 120566188800 is 8881665021.

120566188800 is a `hidden beast` number, since 1 + 2 + 0 + 566 + 1 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16758004 + ... + 16765196.

Almost surely, 2^120566188800 is an apocalyptic number.

120566188800 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 120566188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223361901840).

120566188800 is an abundant number, since it is smaller than the sum of its proper divisors (326157614880).

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

120566188800 is an equidigital number, since it uses as much as digits as its factorization.

120566188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7325 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 120566188800 in words is "one hundred twenty billion, five hundred sixty-six million, one hundred eighty-eight thousand, eight hundred".