2120120222020 has 36 divisors (see below), whose sum is σ = 4537842345540. Its totient is φ = 832047159424.

The previous prime is 2120120221981. The next prime is 2120120222021. The reversal of 2120120222020 is 202220210212.

It can be written as a sum of positive squares in 6 ways, for example, as 11026260036 + 2109093961984 = 105006^2 + 1452272^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120120221985 and 2120120222003.

It is not an unprimeable number, because it can be changed into a prime (2120120222021) 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, 18812815 + ... + 18925174.

It is an arithmetic number, because the mean of its divisors is an integer number (126051176265).

Almost surely, 2^{2120120222020} is an apocalyptic number.

2120120222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120120222020 is an abundant number, since it is smaller than the sum of its proper divisors (2417722123520).

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

2120120222020 is a wasteful number, since it uses less digits than its factorization.

2120120222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37738104 (or 37738049 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2120120222020 its reverse (202220210212), we get a palindrome (2322340432232).

The spelling of 2120120222020 in words is "two trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty-two thousand, twenty".