2202121220000 has 240 divisors, whose sum is σ = 5849549826120. Its totient is φ = 810963456000.

The previous prime is 2202121219939. The next prime is 2202121220023. The reversal of 2202121220000 is 221212022.

It can be written as a sum of positive squares in 20 ways, for example, as 1935671168656 + 266450051344 = 1391284^2 + 516188^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 101129114 + ... + 101150886.

Almost surely, 2^{2202121220000} is an apocalyptic number.

2202121220000 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 2202121220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924774913060).

2202121220000 is an abundant number, since it is smaller than the sum of its proper divisors (3647428606120).

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

2202121220000 is a wasteful number, since it uses less digits than its factorization.

2202121220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22205 (or 22182 counting only the distinct ones).

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

Adding to 2202121220000 its reverse (221212022), we get a palindrome (2202342432022).

The spelling of 2202121220000 in words is "two trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty thousand".