211112220001122 has 768 divisors, whose sum is σ = 546918881034240. Its totient is φ = 58249577433600.

The previous prime is 211112220001019. The next prime is 211112220001141. The reversal of 211112220001122 is 221100022211112.

211112220001122 is a `hidden beast` number, since 211 + 112 + 220 + 0 + 0 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211112220001095 and 211112220001104.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 334567701747 + ... + 334567702377.

It is an arithmetic number, because the mean of its divisors is an integer number (712133959680).

Almost surely, 2^{211112220001122} is an apocalyptic number.

211112220001122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211112220001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273459440517120).

211112220001122 is an abundant number, since it is smaller than the sum of its proper divisors (335806661033118).

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

211112220001122 is a wasteful number, since it uses less digits than its factorization.

211112220001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211112220001122 its reverse (221100022211112), we get a palindrome (432212242212234).

The spelling of 211112220001122 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred twenty million, one thousand, one hundred twenty-two".