22412234220400 has 120 divisors (see below), whose sum is σ = 54283141085184. Its totient is φ = 8892047404800.

The previous prime is 22412234220347. The next prime is 22412234220451. The reversal of 22412234220400 is 402243221422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207768879 + ... + 207876721.

Almost surely, 2^{22412234220400} is an apocalyptic number.

22412234220400 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 22412234220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141570542592).

22412234220400 is an abundant number, since it is smaller than the sum of its proper divisors (31870906864784).

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

22412234220400 is a wasteful number, since it uses less digits than its factorization.

22412234220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112079 (or 112068 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22412234220400 its reverse (402243221422), we get a palindrome (22814477441822).

The spelling of 22412234220400 in words is "twenty-two trillion, four hundred twelve billion, two hundred thirty-four million, two hundred twenty thousand, four hundred".