21368822886312 has 128 divisors (see below), whose sum is σ = 58631858812800. Its totient is φ = 6436188979200.

The previous prime is 21368822886287. The next prime is 21368822886319.

21368822886312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21368822886312² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21368822886319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90145608 + ... + 90382344.

It is an arithmetic number, because the mean of its divisors is an integer number (458061396975).

Almost surely, 2^{21368822886312} is an apocalyptic number.

21368822886312 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 21368822886312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29315929406400).

21368822886312 is an abundant number, since it is smaller than the sum of its proper divisors (37263035926488).

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

21368822886312 is a wasteful number, since it uses less digits than its factorization.

21368822886312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238827 (or 238823 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 60.

The spelling of 21368822886312 in words is "twenty-one trillion, three hundred sixty-eight billion, eight hundred twenty-two million, eight hundred eighty-six thousand, three hundred twelve".