221222322400 has 72 divisors (see below), whose sum is σ = 553231247184. Its totient is φ = 86330649600.

The previous prime is 221222322383. The next prime is 221222322401. The reversal of 221222322400 is 4223222122.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221222322401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3339492 + ... + 3405091.

It is an arithmetic number, because the mean of its divisors is an integer number (7683767322).

Almost surely, 2^221222322400 is an apocalyptic number.

221222322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222322400 is an abundant number, since it is smaller than the sum of its proper divisors (332008924784).

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

221222322400 is a wasteful number, since it uses less digits than its factorization.

221222322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744644 (or 6744631 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 221222322400 its reverse (4223222122), we get a palindrome (225445544522).

The spelling of 221222322400 in words is "two hundred twenty-one billion, two hundred twenty-two million, three hundred twenty-two thousand, four hundred".