21342222224312 has 64 divisors (see below), whose sum is σ = 44071847400960. Its totient is φ = 9608397120000.

The previous prime is 21342222224261. The next prime is 21342222224317.

21342222224312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342222224317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13396187 + ... + 14904437.

It is an arithmetic number, because the mean of its divisors is an integer number (688622615640).

Almost surely, 2^{21342222224312} is an apocalyptic number.

21342222224312 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 21342222224312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22035923700480).

21342222224312 is an abundant number, since it is smaller than the sum of its proper divisors (22729625176648).

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

21342222224312 is a wasteful number, since it uses less digits than its factorization.

21342222224312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509804 (or 1509800 counting only the distinct ones).

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

It can be divided in two parts, 2134222 and 2224312, that added together give a palindrome (4358534).

The spelling of 21342222224312 in words is "twenty-one trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, three hundred twelve".