221220344013200 has 120 divisors (see below), whose sum is σ = 607415417389440. Its totient is φ = 75846031257600.

The previous prime is 221220344013187. The next prime is 221220344013247. The reversal of 221220344013200 is 2310443022122.

It is a self number, because there is not a number n which added to its sum of digits gives 221220344013200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246761765 + ... + 247656635.

It is an arithmetic number, because the mean of its divisors is an integer number (5061795144912).

Almost surely, 2^{221220344013200} is an apocalyptic number.

221220344013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220344013200 is an abundant number, since it is smaller than the sum of its proper divisors (386195073376240).

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

221220344013200 is a wasteful number, since it uses less digits than its factorization.

221220344013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983185 (or 983174 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 221220344013200 its reverse (2310443022122), we get a palindrome (223530787035322).

The spelling of 221220344013200 in words is "two hundred twenty-one trillion, two hundred twenty billion, three hundred forty-four million, thirteen thousand, two hundred".