2210220012000 has 1536 divisors, whose sum is σ = 9986511015936. Its totient is φ = 412397568000.

The previous prime is 2210220011941. The next prime is 2210220012031. The reversal of 2210220012000 is 2100220122.

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 444441514 + ... + 444446486.

It is an arithmetic number, because the mean of its divisors is an integer number (6501634776).

Almost surely, 2^{2210220012000} is an apocalyptic number.

2210220012000 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 2210220012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993255507968).

2210220012000 is an abundant number, since it is smaller than the sum of its proper divisors (7776291003936).

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

2210220012000 is a wasteful number, since it uses less digits than its factorization.

2210220012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5051 counting only the distinct ones).

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

Adding to 2210220012000 its reverse (2100220122), we get a palindrome (2212320232122).

The spelling of 2210220012000 in words is "two trillion, two hundred ten billion, two hundred twenty million, twelve thousand".