211221122000 has 160 divisors (see below), whose sum is σ = 584365217280. Its totient is φ = 72335462400.

The previous prime is 211221121999. The next prime is 211221122009. The reversal of 211221122000 is 221122112.

It is a super-2 number, since 2×211221122000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12857792 + ... + 12874208.

It is an arithmetic number, because the mean of its divisors is an integer number (3652282608).

Almost surely, 2^211221122000 is an apocalyptic number.

211221122000 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 211221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292182608640).

211221122000 is an abundant number, since it is smaller than the sum of its proper divisors (373144095280).

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

211221122000 is a wasteful number, since it uses less digits than its factorization.

211221122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17366 (or 17350 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211221122000 its reverse (221122112), we get a palindrome (211442244112).

The spelling of 211221122000 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred twenty-two thousand".