120020202000 has 240 divisors, whose sum is σ = 429417359280. Its totient is φ = 31224576000.

The previous prime is 120020201971. The next prime is 120020202077. The reversal of 120020202000 is 202020021.

120020202000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 44742402576 + 75277799424 = 211524^2 + 274368^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 656686 + ... + 819314.

It is an arithmetic number, because the mean of its divisors is an integer number (1789238997).

Almost surely, 2^120020202000 is an apocalyptic number.

120020202000 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 120020202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214708679640).

120020202000 is an abundant number, since it is smaller than the sum of its proper divisors (309397157280).

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

120020202000 is a wasteful number, since it uses less digits than its factorization.

120020202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162699 (or 162680 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 120020202000 its reverse (202020021), we get a palindrome (120222222021).

The spelling of 120020202000 in words is "one hundred twenty billion, twenty million, two hundred two thousand".