2122202021200 has 120 divisors (see below), whose sum is σ = 5165345747160. Its totient is φ = 837819648000.

The previous prime is 2122202021183. The next prime is 2122202021207. The reversal of 2122202021200 is 21202022212.

It can be written as a sum of positive squares in 12 ways, for example, as 242824243984 + 1879377777216 = 492772^2 + 1370904^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122202021207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12723946 + ... + 12889654.

It is an arithmetic number, because the mean of its divisors is an integer number (43044547893).

Almost surely, 2^{2122202021200} is an apocalyptic number.

2122202021200 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 2122202021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582672873580).

2122202021200 is an abundant number, since it is smaller than the sum of its proper divisors (3043143725960).

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

2122202021200 is a wasteful number, since it uses less digits than its factorization.

2122202021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166145 (or 166134 counting only the distinct ones).

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

Adding to 2122202021200 its reverse (21202022212), we get a palindrome (2143404043412).

The spelling of 2122202021200 in words is "two trillion, one hundred twenty-two billion, two hundred two million, twenty-one thousand, two hundred".