22100232012320 has 384 divisors, whose sum is σ = 65413378179072. Its totient is φ = 6854761267200.

The previous prime is 22100232012319. The next prime is 22100232012407. The reversal of 22100232012320 is 2321023200122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22100232012292 and 22100232012301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7550470697 + ... + 7550473623.

It is an arithmetic number, because the mean of its divisors is an integer number (170347339008).

Almost surely, 2^{22100232012320} is an apocalyptic number.

22100232012320 is a gapful number since it is divisible by the number (20) 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 22100232012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32706689089536).

22100232012320 is an abundant number, since it is smaller than the sum of its proper divisors (43313146166752).

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

22100232012320 is a wasteful number, since it uses less digits than its factorization.

22100232012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22100232012320 its reverse (2321023200122), we get a palindrome (24421255212442).

The spelling of 22100232012320 in words is "twenty-two trillion, one hundred billion, two hundred thirty-two million, twelve thousand, three hundred twenty".