22123100032 has 128 divisors (see below), whose sum is σ = 49401031680. Its totient is φ = 9782323200.

The previous prime is 22123100009. The next prime is 22123100033. The reversal of 22123100032 is 23000132122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22123099979 and 22123100015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123100033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11976933 + ... + 11978779.

It is an arithmetic number, because the mean of its divisors is an integer number (385945560).

Almost surely, 2^22123100032 is an apocalyptic number.

22123100032 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 22123100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24700515840).

22123100032 is an abundant number, since it is smaller than the sum of its proper divisors (27277931648).

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

22123100032 is a wasteful number, since it uses less digits than its factorization.

22123100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22123100032 its reverse (23000132122), we get a palindrome (45123232154).

The spelling of 22123100032 in words is "twenty-two billion, one hundred twenty-three million, one hundred thousand, thirty-two".