221221112012200 has 48 divisors (see below), whose sum is σ = 514342046860380. Its totient is φ = 88487935311360.

The previous prime is 221221112012171. The next prime is 221221112012203. The reversal of 221221112012200 is 2210211122122.

It can be written as a sum of positive squares in 6 ways, for example, as 119442997284004 + 101778114728196 = 10928998^2 + 10088514^2 .

It is not an unprimeable number, because it can be changed into a prime (221221112012203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32643612 + ... + 38833588.

Almost surely, 2^{221221112012200} is an apocalyptic number.

221221112012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221112012200 is an abundant number, since it is smaller than the sum of its proper divisors (293120934848180).

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

221221112012200 is a wasteful number, since it uses less digits than its factorization.

221221112012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368686 (or 6368677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221221112012200 its reverse (2210211122122), we get a palindrome (223431323134322).

The spelling of 221221112012200 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred twelve million, twelve thousand, two hundred".