21322244222312 has 128 divisors (see below), whose sum is σ = 47704009466880. Its totient is φ = 8821051392000.

The previous prime is 21322244222297. The next prime is 21322244222407.

21322244222312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62948828 + ... + 63286644.

It is an arithmetic number, because the mean of its divisors is an integer number (372687573960).

Almost surely, 2^{21322244222312} is an apocalyptic number.

21322244222312 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 21322244222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23852004733440).

21322244222312 is an abundant number, since it is smaller than the sum of its proper divisors (26381765244568).

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

21322244222312 is a wasteful number, since it uses less digits than its factorization.

21322244222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339243 (or 339239 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 2132224 and 4222312, that added together give a palindrome (6354536).

The spelling of 21322244222312 in words is "twenty-one trillion, three hundred twenty-two billion, two hundred forty-four million, two hundred twenty-two thousand, three hundred twelve".