120558060800 has 108 divisors (see below), whose sum is σ = 298560966396. Its totient is φ = 48197222400.

The previous prime is 120558060797. The next prime is 120558060823. The reversal of 120558060800 is 8060855021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16688505856 + 103869554944 = 129184^2 + 322288^2 .

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 11 ways as a sum of consecutive naturals, for example, 15618542 + ... + 15626258.

Almost surely, 2^120558060800 is an apocalyptic number.

120558060800 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 120558060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149280483198).

120558060800 is an abundant number, since it is smaller than the sum of its proper divisors (178002905596).

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

120558060800 is an equidigital number, since it uses as much as digits as its factorization.

120558060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The spelling of 120558060800 in words is "one hundred twenty billion, five hundred fifty-eight million, sixty thousand, eight hundred".