22344124400 has 120 divisors (see below), whose sum is σ = 59156161680. Its totient is φ = 8058193920.

The previous prime is 22344124379. The next prime is 22344124423. The reversal of 22344124400 is 442144322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 22344124400.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 173636 + ... + 273564.

It is an arithmetic number, because the mean of its divisors is an integer number (492968014).

Almost surely, 2^22344124400 is an apocalyptic number.

22344124400 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 22344124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29578080840).

22344124400 is an abundant number, since it is smaller than the sum of its proper divisors (36812037280).

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

22344124400 is a wasteful number, since it uses less digits than its factorization.

22344124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100003 (or 99992 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 22344124400 its reverse (442144322), we get a palindrome (22786268722).

The spelling of 22344124400 in words is "twenty-two billion, three hundred forty-four million, one hundred twenty-four thousand, four hundred".