22100011122432 has 144 divisors (see below), whose sum is σ = 62040074382720. Its totient is φ = 6964734873600.

The previous prime is 22100011122391. The next prime is 22100011122433. The reversal of 22100011122432 is 23422111000122.

It is a happy number.

It is a super-2 number, since 2×22100011122432² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22100011122399 and 22100011122408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100011122433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5622382 + ... + 8706962.

It is an arithmetic number, because the mean of its divisors is an integer number (430833849880).

Almost surely, 2^{22100011122432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100011122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31020037191360).

22100011122432 is an abundant number, since it is smaller than the sum of its proper divisors (39940063260288).

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

22100011122432 is a wasteful number, since it uses less digits than its factorization.

22100011122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085110 (or 3085096 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 22100011122432 its reverse (23422111000122), we get a palindrome (45522122122554).

The spelling of 22100011122432 in words is "twenty-two trillion, one hundred billion, eleven million, one hundred twenty-two thousand, four hundred thirty-two".