223221212400 has 60 divisors (see below), whose sum is σ = 715051954232. Its totient is φ = 59525656320.

The previous prime is 223221212399. The next prime is 223221212419. The reversal of 223221212400 is 4212122322.

223221212400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×223221212400³ (a number of 35 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 93007639 + ... + 93010038.

Almost surely, 2^223221212400 is an apocalyptic number.

223221212400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223221212400 is an abundant number, since it is smaller than the sum of its proper divisors (491830741832).

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

223221212400 is a wasteful number, since it uses less digits than its factorization.

223221212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186017698 (or 186017687 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 223221212400 its reverse (4212122322), we get a palindrome (227433334722).

The spelling of 223221212400 in words is "two hundred twenty-three billion, two hundred twenty-one million, two hundred twelve thousand, four hundred".