21711222211712 has 128 divisors (see below), whose sum is σ = 49986198074880. Its totient is φ = 9283442688000.

The previous prime is 21711222211667. The next prime is 21711222211747.

21711222211712 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46466678 + ... + 46931594.

It is an arithmetic number, because the mean of its divisors is an integer number (390517172460).

Almost surely, 2^{21711222211712} is an apocalyptic number.

21711222211712 is a gapful number since it is divisible by the number (22) 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 21711222211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24993099037440).

21711222211712 is an abundant number, since it is smaller than the sum of its proper divisors (28274975863168).

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

21711222211712 is a wasteful number, since it uses less digits than its factorization.

21711222211712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466910 (or 466898 counting only the distinct ones).

The product of its digits is 3136, while the sum is 32.

It can be divided in two parts, 2171122 and 2211712, that added together give a palindrome (4382834).

The spelling of 21711222211712 in words is "twenty-one trillion, seven hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, seven hundred twelve".