221211311224120 has 128 divisors (see below), whose sum is σ = 571621645900800. Its totient is φ = 75472172937216.

The previous prime is 221211311224093. The next prime is 221211311224157. The reversal of 221211311224120 is 21422113112122.

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 31 ways as a sum of consecutive naturals, for example, 65135496 + ... + 68447464.

It is an arithmetic number, because the mean of its divisors is an integer number (4465794108600).

Almost surely, 2^{221211311224120} is an apocalyptic number.

221211311224120 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 221211311224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285810822950400).

221211311224120 is an abundant number, since it is smaller than the sum of its proper divisors (350410334676680).

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

221211311224120 is a wasteful number, since it uses less digits than its factorization.

221211311224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313157 (or 3313153 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 221211311224120 its reverse (21422113112122), we get a palindrome (242633424336242).

The spelling of 221211311224120 in words is "two hundred twenty-one trillion, two hundred eleven billion, three hundred eleven million, two hundred twenty-four thousand, one hundred twenty".