22121224044400 has 960 divisors, whose sum is σ = 64313939644416. Its totient is φ = 7232053248000.

The previous prime is 22121224044397. The next prime is 22121224044401. The reversal of 22121224044400 is 444042212122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121224044401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40889508130 + ... + 40889508670.

Almost surely, 2^{22121224044400} is an apocalyptic number.

22121224044400 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 22121224044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32156969822208).

22121224044400 is an abundant number, since it is smaller than the sum of its proper divisors (42192715600016).

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

22121224044400 is a wasteful number, since it uses less digits than its factorization.

22121224044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 22121224044400 its reverse (444042212122), we get a palindrome (22565266256522).

The spelling of 22121224044400 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred twenty-four million, forty-four thousand, four hundred".