211122022020112 has 200 divisors, whose sum is σ = 488398742488800. Its totient is φ = 88357506854400.

The previous prime is 211122022020109. The next prime is 211122022020121. The reversal of 211122022020112 is 211020220221112.

It is a self number, because there is not a number n which added to its sum of digits gives 211122022020112.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9661881987 + ... + 9661903837.

It is an arithmetic number, because the mean of its divisors is an integer number (2441993712444).

Almost surely, 2^{211122022020112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211122022020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244199371244400).

211122022020112 is an abundant number, since it is smaller than the sum of its proper divisors (277276720468688).

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

211122022020112 is an equidigital number, since it uses as much as digits as its factorization.

211122022020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27779 (or 27752 counting only the distinct ones).

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

Adding to 211122022020112 its reverse (211020220221112), we get a palindrome (422142242241224).

The spelling of 211122022020112 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty-two million, twenty thousand, one hundred twelve".