2202212100000 has 1728 divisors, whose sum is σ = 8713602293760. Its totient is φ = 484704000000.

The previous prime is 2202212099999. The next prime is 2202212100007. The reversal of 2202212100000 is 12122022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2202212100007) 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 287 ways as a sum of consecutive naturals, for example, 21380699949 + ... + 21380700051.

It is an arithmetic number, because the mean of its divisors is an integer number (5042593920).

Almost surely, 2^{2202212100000} is an apocalyptic number.

2202212100000 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 2202212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356801146880).

2202212100000 is an abundant number, since it is smaller than the sum of its proper divisors (6511390193760).

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

2202212100000 is a wasteful number, since it uses less digits than its factorization.

2202212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2202212100000 its reverse (12122022), we get a palindrome (2202224222022).

The spelling of 2202212100000 in words is "two trillion, two hundred two billion, two hundred twelve million, one hundred thousand".