211001222211220 has 192 divisors, whose sum is σ = 555443801902080. Its totient is φ = 65649492615168.

The previous prime is 211001222211217. The next prime is 211001222211251. The reversal of 211001222211220 is 22112222100112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48074994 + ... + 52280086.

It is an arithmetic number, because the mean of its divisors is an integer number (2892936468240).

Almost surely, 2^{211001222211220} is an apocalyptic number.

211001222211220 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 211001222211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277721900951040).

211001222211220 is an abundant number, since it is smaller than the sum of its proper divisors (344442579690860).

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

211001222211220 is a wasteful number, since it uses less digits than its factorization.

211001222211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205882 (or 4205880 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 211001222211220 its reverse (22112222100112), we get a palindrome (233113444311332).

The spelling of 211001222211220 in words is "two hundred eleven trillion, one billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twenty".