211022122000 has 160 divisors (see below), whose sum is σ = 547673634144. Its totient is φ = 78354432000.

The previous prime is 211022121971. The next prime is 211022122027. The reversal of 211022122000 is 221220112.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 126599332864 + 84422789136 = 355808^2 + 290556^2 .

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 31 ways as a sum of consecutive naturals, for example, 2439490 + ... + 2524510.

Almost surely, 2^211022122000 is an apocalyptic number.

211022122000 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 211022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273836817072).

211022122000 is an abundant number, since it is smaller than the sum of its proper divisors (336651512144).

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

211022122000 is a wasteful number, since it uses less digits than its factorization.

211022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85134 (or 85118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211022122000 its reverse (221220112), we get a palindrome (211243342112).

The spelling of 211022122000 in words is "two hundred eleven billion, twenty-two million, one hundred twenty-two thousand".