212022202200000 has 672 divisors, whose sum is σ = 715843658073600. Its totient is φ = 55367155200000.

The previous prime is 212022202199987. The next prime is 212022202200007. The reversal of 212022202200000 is 2202220212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022202200007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6347383299 + ... + 6347416701.

It is an arithmetic number, because the mean of its divisors is an integer number (1065243538800).

Almost surely, 2^{212022202200000} is an apocalyptic number.

212022202200000 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 212022202200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357921829036800).

212022202200000 is an abundant number, since it is smaller than the sum of its proper divisors (503821455873600).

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

212022202200000 is an equidigital number, since it uses as much as digits as its factorization.

212022202200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33663 (or 33633 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 212022202200000 its reverse (2202220212), we get a palindrome (212024404420212).

The spelling of 212022202200000 in words is "two hundred twelve trillion, twenty-two billion, two hundred two million, two hundred thousand".