120200222220020 has 96 divisors (see below), whose sum is σ = 270353034594720. Its totient is φ = 44730774650880.

The previous prime is 120200222219989. The next prime is 120200222220041. The reversal of 120200222220020 is 20022222002021.

It can be written as a sum of positive squares in 16 ways, for example, as 53270904910864 + 66929317309156 = 7298692^2 + 8181034^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24856946 + ... + 29296214.

It is an arithmetic number, because the mean of its divisors is an integer number (2816177443695).

Almost surely, 2^{120200222220020} is an apocalyptic number.

120200222220020 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 120200222220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135176517297360).

120200222220020 is an abundant number, since it is smaller than the sum of its proper divisors (150152812374700).

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

120200222220020 is a wasteful number, since it uses less digits than its factorization.

120200222220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440213 (or 4440211 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 120200222220020 its reverse (20022222002021), we get a palindrome (140222444222041).

The spelling of 120200222220020 in words is "one hundred twenty trillion, two hundred billion, two hundred twenty-two million, two hundred twenty thousand, twenty".