21312244221312 has 256 divisors, whose sum is σ = 63466397959680. Its totient is φ = 6279724154880.

The previous prime is 21312244221283. The next prime is 21312244221353.

21312244221312 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21312244221312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251112388 + ... + 251197244.

It is an arithmetic number, because the mean of its divisors is an integer number (247915617030).

Almost surely, 2^{21312244221312} is an apocalyptic number.

21312244221312 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 21312244221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31733198979840).

21312244221312 is an abundant number, since it is smaller than the sum of its proper divisors (42154153738368).

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

21312244221312 is a wasteful number, since it uses less digits than its factorization.

21312244221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86529 (or 86517 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2131224 and 4221312, that added together give a palindrome (6352536).

The spelling of 21312244221312 in words is "twenty-one trillion, three hundred twelve billion, two hundred forty-four million, two hundred twenty-one thousand, three hundred twelve".