22120533234400 has 144 divisors (see below), whose sum is σ = 54276785782128. Its totient is φ = 8803178496000.

The previous prime is 22120533234391. The next prime is 22120533234413. The reversal of 22120533234400 is 443233502122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513299254 + ... + 513342346.

It is an arithmetic number, because the mean of its divisors is an integer number (376922123487).

Almost surely, 2^{22120533234400} is an apocalyptic number.

22120533234400 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 22120533234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27138392891064).

22120533234400 is an abundant number, since it is smaller than the sum of its proper divisors (32156252547728).

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

22120533234400 is a wasteful number, since it uses less digits than its factorization.

22120533234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46365 (or 46352 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 22120533234400 its reverse (443233502122), we get a palindrome (22563766736522).

The spelling of 22120533234400 in words is "twenty-two trillion, one hundred twenty billion, five hundred thirty-three million, two hundred thirty-four thousand, four hundred".