221100000121224 has 384 divisors, whose sum is σ = 744260425608960. Its totient is φ = 57843673841664.

The previous prime is 221100000121219. The next prime is 221100000121229. The reversal of 221100000121224 is 422121000001122.

221100000121224 is a `hidden beast` number, since 221 + 100 + 0 + 0 + 0 + 121 + 224 = 666.

221100000121224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221100000121219) and next prime (221100000121229).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221100000121197 and 221100000121206.

It is not an unprimeable number, because it can be changed into a prime (221100000121229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5207600604 + ... + 5207643060.

It is an arithmetic number, because the mean of its divisors is an integer number (1938178191690).

Almost surely, 2^{221100000121224} is an apocalyptic number.

221100000121224 is a gapful number since it is divisible by the number (24) 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 221100000121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372130212804480).

221100000121224 is an abundant number, since it is smaller than the sum of its proper divisors (523160425487736).

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

221100000121224 is a wasteful number, since it uses less digits than its factorization.

221100000121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58957 (or 58950 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221100000121224 its reverse (422121000001122), we get a palindrome (643221000122346).

The spelling of 221100000121224 in words is "two hundred twenty-one trillion, one hundred billion, one hundred twenty-one thousand, two hundred twenty-four".