211001122000 has 80 divisors (see below), whose sum is σ = 510413202000. Its totient is φ = 84365299200.

The previous prime is 211001121983. The next prime is 211001122027. The reversal of 211001122000 is 221100112.

It can be written as a sum of positive squares in 8 ways, for example, as 12748216464 + 198252905536 = 112908^2 + 445256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5077306 + ... + 5118694.

It is an arithmetic number, because the mean of its divisors is an integer number (6380165025).

Almost surely, 2^211001122000 is an apocalyptic number.

211001122000 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 211001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255206601000).

211001122000 is an abundant number, since it is smaller than the sum of its proper divisors (299412080000).

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

211001122000 is a wasteful number, since it uses less digits than its factorization.

211001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43961 (or 43945 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211001122000 its reverse (221100112), we get a palindrome (211222222112).

The spelling of 211001122000 in words is "two hundred eleven billion, one million, one hundred twenty-two thousand".