211110000122000 has 320 divisors, whose sum is σ = 618574536552960. Its totient is φ = 68070537216000.

The previous prime is 211110000121987. The next prime is 211110000122029. The reversal of 211110000122000 is 221000011112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33545480 + ... + 39338520.

It is an arithmetic number, because the mean of its divisors is an integer number (1933045426728).

Almost surely, 2^{211110000122000} is an apocalyptic number.

211110000122000 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 211110000122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309287268276480).

211110000122000 is an abundant number, since it is smaller than the sum of its proper divisors (407464536430960).

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

211110000122000 is a wasteful number, since it uses less digits than its factorization.

211110000122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793227 (or 5793211 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211110000122000 its reverse (221000011112), we get a palindrome (211331000133112).

The spelling of 211110000122000 in words is "two hundred eleven trillion, one hundred ten billion, one hundred twenty-two thousand".