21322322322312 has 256 divisors, whose sum is σ = 62731418112000. Its totient is φ = 5969773958400.

The previous prime is 21322322322311. The next prime is 21322322322359.

It is a happy number.

21322322322312 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 21322322322312.

It is not an unprimeable number, because it can be changed into a prime (21322322322311) 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, 142063387 + ... + 142213397.

It is an arithmetic number, because the mean of its divisors is an integer number (245044602000).

Almost surely, 2^{21322322322312} is an apocalyptic number.

21322322322312 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 21322322322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31365709056000).

21322322322312 is an abundant number, since it is smaller than the sum of its proper divisors (41409095789688).

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

21322322322312 is a wasteful number, since it uses less digits than its factorization.

21322322322312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150752 (or 150748 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 2132232 and 2322312, that added together give a palindrome (4454544).

The spelling of 21322322322312 in words is "twenty-one trillion, three hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand, three hundred twelve".