211211022000000 has 896 divisors, whose sum is σ = 785715705210240. Its totient is φ = 49818240000000.

The previous prime is 211211021999977. The next prime is 211211022000091. The reversal of 211211022000000 is 220112112.

It is a super-2 number, since 2×211211022000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 211211022000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2441956755 + ... + 2442043245.

It is an arithmetic number, because the mean of its divisors is an integer number (876914849565).

Almost surely, 2^{211211022000000} is an apocalyptic number.

211211022000000 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 211211022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392857852605120).

211211022000000 is an abundant number, since it is smaller than the sum of its proper divisors (574504683210240).

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

211211022000000 is an frugal number, since it uses more digits than its factorization.

211211022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86586 (or 86549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211211022000000 its reverse (220112112), we get a palindrome (211211242112112).

The spelling of 211211022000000 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-two million", and thus it is an aban number.