211012111222220 has 288 divisors, whose sum is σ = 567125496967680. Its totient is φ = 65402373335040.

The previous prime is 211012111222219. The next prime is 211012111222261. The reversal of 211012111222220 is 22222111210112.

It is a super-2 number, since 2×211012111222220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211012111222192 and 211012111222201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661700252 + ... + 662019068.

It is an arithmetic number, because the mean of its divisors is an integer number (1969185753360).

Almost surely, 2^{211012111222220} is an apocalyptic number.

211012111222220 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 211012111222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283562748483840).

211012111222220 is an abundant number, since it is smaller than the sum of its proper divisors (356113385745460).

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

211012111222220 is a wasteful number, since it uses less digits than its factorization.

211012111222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319051 (or 319021 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211012111222220 its reverse (22222111210112), we get a palindrome (233234222432332).

The spelling of 211012111222220 in words is "two hundred eleven trillion, twelve billion, one hundred eleven million, two hundred twenty-two thousand, two hundred twenty".