2120020212200 has 144 divisors (see below), whose sum is σ = 5421227563500. Its totient is φ = 770439859200.

The previous prime is 2120020212161. The next prime is 2120020212241. The reversal of 2120020212200 is 22120200212.

It can be written as a sum of positive squares in 6 ways, for example, as 444854316676 + 1675165895524 = 666974^2 + 1294282^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40363556 + ... + 40416044.

Almost surely, 2^{2120020212200} is an apocalyptic number.

2120020212200 is a gapful number since it is divisible by the number (20) 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 2120020212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710613781750).

2120020212200 is an abundant number, since it is smaller than the sum of its proper divisors (3301207351300).

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

2120020212200 is a wasteful number, since it uses less digits than its factorization.

2120020212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54196 (or 54176 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2120020212200 its reverse (22120200212), we get a palindrome (2142140412412).

The spelling of 2120020212200 in words is "two trillion, one hundred twenty billion, twenty million, two hundred twelve thousand, two hundred".