22112006400 has 432 divisors, whose sum is σ = 88461213120. Its totient is φ = 5360025600.

The previous prime is 22112006383. The next prime is 22112006407. The reversal of 22112006400 is 460021122.

22112006400 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 20 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (22112006407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894984 + ... + 1906616.

Almost surely, 2^22112006400 is an apocalyptic number.

22112006400 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 22112006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44230606560).

22112006400 is an abundant number, since it is smaller than the sum of its proper divisors (66349206720).

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

22112006400 is a wasteful number, since it uses less digits than its factorization.

22112006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679 (or 11654 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22112006400 its reverse (460021122), we get a palindrome (22572027522).

The spelling of 22112006400 in words is "twenty-two billion, one hundred twelve million, six thousand, four hundred".