22412113400 has 96 divisors (see below), whose sum is σ = 53892086400. Its totient is φ = 8659046400.

The previous prime is 22412113393. The next prime is 22412113403. The reversal of 22412113400 is 431121422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22412113403) 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 23 ways as a sum of consecutive naturals, for example, 3524624 + ... + 3530976.

It is an arithmetic number, because the mean of its divisors is an integer number (561375900).

Almost surely, 2^22412113400 is an apocalyptic number.

22412113400 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 22412113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26946043200).

22412113400 is an abundant number, since it is smaller than the sum of its proper divisors (31479973000).

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

22412113400 is a wasteful number, since it uses less digits than its factorization.

22412113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22412113400 its reverse (431121422), we get a palindrome (22843234822).

The spelling of 22412113400 in words is "twenty-two billion, four hundred twelve million, one hundred thirteen thousand, four hundred".