21342211224312 has 256 divisors, whose sum is σ = 62515056614400. Its totient is φ = 6005755514880.

The previous prime is 21342211224311. The next prime is 21342211224361.

21342211224312 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 21342211224312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342211224311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102567514 + ... + 102775382.

It is an arithmetic number, because the mean of its divisors is an integer number (244199439900).

Almost surely, 2^{21342211224312} is an apocalyptic number.

21342211224312 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 21342211224312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31257528307200).

21342211224312 is an abundant number, since it is smaller than the sum of its proper divisors (41172845390088).

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

21342211224312 is a wasteful number, since it uses less digits than its factorization.

21342211224312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208406 (or 208402 counting only the distinct ones).

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

It can be divided in two parts, 2134221 and 1224312, that added together give a palindrome (3358533).

The spelling of 21342211224312 in words is "twenty-one trillion, three hundred forty-two billion, two hundred eleven million, two hundred twenty-four thousand, three hundred twelve".