22122014204400 has 240 divisors, whose sum is σ = 81853819377408. Its totient is φ = 5047447040000.

The previous prime is 22122014204393. The next prime is 22122014204401. The reversal of 22122014204400 is 440241022122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122014204401) 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, 49067076 + ... + 49515875.

Almost surely, 2^{22122014204400} is an apocalyptic number.

22122014204400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122014204400 is an abundant number, since it is smaller than the sum of its proper divisors (59731805173008).

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

22122014204400 is a wasteful number, since it uses less digits than its factorization.

22122014204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98583000 (or 98582989 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22122014204400 its reverse (440241022122), we get a palindrome (22562255226522).

The spelling of 22122014204400 in words is "twenty-two trillion, one hundred twenty-two billion, fourteen million, two hundred four thousand, four hundred".