220211222000000 has 448 divisors, whose sum is σ = 683683223742720. Its totient is φ = 68637216000000.

The previous prime is 220211221999999. The next prime is 220211222000027. The reversal of 220211222000000 is 222112022.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 153285029 + ... + 154714971.

Almost surely, 2^{220211222000000} is an apocalyptic number.

220211222000000 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 220211222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341841611871360).

220211222000000 is an abundant number, since it is smaller than the sum of its proper divisors (463472001742720).

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

220211222000000 is an frugal number, since it uses more digits than its factorization.

220211222000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430005 (or 1429968 counting only the distinct ones).

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

Adding to 220211222000000 its reverse (222112022), we get a palindrome (220211444112022).

The spelling of 220211222000000 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred twenty-two million", and thus it is an aban number.