211105422000 has 960 divisors, whose sum is σ = 866914513920. Its totient is φ = 47305728000.

The previous prime is 211105421999. The next prime is 211105422041. The reversal of 211105422000 is 224501112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 198593469 + ... + 198594531.

It is an arithmetic number, because the mean of its divisors is an integer number (903035952).

Almost surely, 2^211105422000 is an apocalyptic number.

211105422000 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 211105422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433457256960).

211105422000 is an abundant number, since it is smaller than the sum of its proper divisors (655809091920).

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

211105422000 is a wasteful number, since it uses less digits than its factorization.

211105422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 211105422000 its reverse (224501112), we get a palindrome (211329923112).

The spelling of 211105422000 in words is "two hundred eleven billion, one hundred five million, four hundred twenty-two thousand".