220211211100000 has 144 divisors (see below), whose sum is σ = 541916404880256. Its totient is φ = 88080410880000.

The previous prime is 220211211099977. The next prime is 220211211100019. The reversal of 220211211100000 is 1112112022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3115264657 + ... + 3115335343.

It is an arithmetic number, because the mean of its divisors is an integer number (3763308367224).

Almost surely, 2^{220211211100000} is an apocalyptic number.

220211211100000 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 220211211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270958202440128).

220211211100000 is an abundant number, since it is smaller than the sum of its proper divisors (321705193780256).

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

220211211100000 is an frugal number, since it uses more digits than its factorization.

220211211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101875 (or 101847 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 220211211100000 its reverse (1112112022), we get a palindrome (220212323212022).

The spelling of 220211211100000 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred eleven million, one hundred thousand".