22232100212322 has 256 divisors, whose sum is σ = 62809185632256. Its totient is φ = 5059812096000.

The previous prime is 22232100212269. The next prime is 22232100212327. The reversal of 22232100212322 is 22321200123222.

It is a junction number, because it is equal to n+sod(n) for n = 22232100212292 and 22232100212301.

It is not an unprimeable number, because it can be changed into a prime (22232100212327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7891047 + ... + 10331157.

It is an arithmetic number, because the mean of its divisors is an integer number (245348381376).

Almost surely, 2^{22232100212322} is an apocalyptic number.

22232100212322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22232100212322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31404592816128).

22232100212322 is an abundant number, since it is smaller than the sum of its proper divisors (40577085419934).

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

22232100212322 is a wasteful number, since it uses less digits than its factorization.

22232100212322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440225.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22232100212322 its reverse (22321200123222), we get a palindrome (44553300335544).

It can be divided in two parts, 22232100 and 212322, that added together give a palindrome (22444422).

The spelling of 22232100212322 in words is "twenty-two trillion, two hundred thirty-two billion, one hundred million, two hundred twelve thousand, three hundred twenty-two".