120200200320 has 128 divisors (see below), whose sum is σ = 384503345280. Its totient is φ = 31939174400.

The previous prime is 120200200319. The next prime is 120200200339. The reversal of 120200200320 is 23002002021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120200200296 and 120200200305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428125 + ... + 650915.

It is an arithmetic number, because the mean of its divisors is an integer number (3003932385).

Almost surely, 2^120200200320 is an apocalyptic number.

120200200320 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 120200200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192251672640).

120200200320 is an abundant number, since it is smaller than the sum of its proper divisors (264303144960).

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

120200200320 is a wasteful number, since it uses less digits than its factorization.

120200200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223094 (or 223082 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 120200200320 its reverse (23002002021), we get a palindrome (143202202341).

The spelling of 120200200320 in words is "one hundred twenty billion, two hundred million, two hundred thousand, three hundred twenty".