221225003132144 has 80 divisors (see below), whose sum is σ = 472889403141120. Its totient is φ = 99417215040000.

The previous prime is 221225003132141. The next prime is 221225003132227. The reversal of 221225003132144 is 441231300522122.

It is a super-2 number, since 2×221225003132144² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221225003132144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221225003132141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160197419 + ... + 161572469.

It is an arithmetic number, because the mean of its divisors is an integer number (5911117539264).

Almost surely, 2^{221225003132144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221225003132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236444701570560).

221225003132144 is an abundant number, since it is smaller than the sum of its proper divisors (251664400008976).

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

221225003132144 is a wasteful number, since it uses less digits than its factorization.

221225003132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385430 (or 1385424 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 221225003132144 its reverse (441231300522122), we get a palindrome (662456303654266).

The spelling of 221225003132144 in words is "two hundred twenty-one trillion, two hundred twenty-five billion, three million, one hundred thirty-two thousand, one hundred forty-four".