2202121120212 has 144 divisors (see below), whose sum is σ = 6050588111568. Its totient is φ = 671260262400.

The previous prime is 2202121120207. The next prime is 2202121120217. The reversal of 2202121120212 is 2120211212022.

It is a happy number.

2202121120212 is a `hidden beast` number, since 220 + 2 + 1 + 211 + 20 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (2202121120207) and next prime (2202121120217).

It can be written as a sum of positive squares in 8 ways, for example, as 1127092229316 + 1075028890896 = 1061646^2 + 1036836^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202121120217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126542712 + ... + 126560112.

It is an arithmetic number, because the mean of its divisors is an integer number (42017972997).

Almost surely, 2^{2202121120212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202121120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025294055784).

2202121120212 is an abundant number, since it is smaller than the sum of its proper divisors (3848466991356).

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

2202121120212 is a wasteful number, since it uses less digits than its factorization.

2202121120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19930 (or 19925 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2202121120212 its reverse (2120211212022), we get a palindrome (4322332332234).

The spelling of 2202121120212 in words is "two trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twelve".