120120200000 has 84 divisors (see below), whose sum is σ = 297935829324. Its totient is φ = 48048000000.

The previous prime is 120120199973. The next prime is 120120200003. The reversal of 120120200000 is 2021021.

It can be written as a sum of positive squares in 6 ways, for example, as 74655725824 + 45464474176 = 273232^2 + 213224^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100301 + ... + 500300.

It is an arithmetic number, because the mean of its divisors is an integer number (3546855111).

Almost surely, 2^120120200000 is an apocalyptic number.

120120200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120200000 is an abundant number, since it is smaller than the sum of its proper divisors (177815629324).

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

120120200000 is an frugal number, since it uses more digits than its factorization.

120120200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600638 (or 600608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120120200000 its reverse (2021021), we get a palindrome (120122221021).

The spelling of 120120200000 in words is "one hundred twenty billion, one hundred twenty million, two hundred thousand".