22123401300 has 648 divisors, whose sum is σ = 93667129920. Its totient is φ = 4241203200.

The previous prime is 22123401269. The next prime is 22123401301. The reversal of 22123401300 is 310432122.

22123401300 is a `hidden beast` number, since 2 + 21 + 2 + 340 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123401301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11710756 + ... + 11712644.

It is an arithmetic number, because the mean of its divisors is an integer number (144548040).

Almost surely, 2^22123401300 is an apocalyptic number.

22123401300 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 22123401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46833564960).

22123401300 is an abundant number, since it is smaller than the sum of its proper divisors (71543728620).

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

22123401300 is a wasteful number, since it uses less digits than its factorization.

22123401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22123401300 its reverse (310432122), we get a palindrome (22433833422).

The spelling of 22123401300 in words is "twenty-two billion, one hundred twenty-three million, four hundred one thousand, three hundred".