20222211212000 has 960 divisors, whose sum is σ = 63504318608640. Its totient is φ = 6298994688000.

The previous prime is 20222211211999. The next prime is 20222211212039. The reversal of 20222211212000 is 21211222202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 20222211212000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4734769865 + ... + 4734774135.

It is an arithmetic number, because the mean of its divisors is an integer number (66150331884).

Almost surely, 2^{20222211212000} is an apocalyptic number.

20222211212000 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 20222211212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752159304320).

20222211212000 is an abundant number, since it is smaller than the sum of its proper divisors (43282107396640).

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

20222211212000 is an equidigital number, since it uses as much as digits as its factorization.

20222211212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20222211212000 its reverse (21211222202), we get a palindrome (20243422434202).

The spelling of 20222211212000 in words is "twenty trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twelve thousand".