221344412231124 has 324 divisors, whose sum is σ = 720379962433404. Its totient is φ = 56798795676672.

The previous prime is 221344412231099. The next prime is 221344412231171. The reversal of 221344412231124 is 421132214443122.

221344412231124 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 4 + 412 + 231 + 1 + 2 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 46078057238724 + 175266354992400 = 6788082^2 + 13238820^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27868632 + ... + 34919184.

Almost surely, 2^{221344412231124} 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 221344412231124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360189981216702).

221344412231124 is an abundant number, since it is smaller than the sum of its proper divisors (499035550202280).

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

221344412231124 is a wasteful number, since it uses less digits than its factorization.

221344412231124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050664 (or 7050615 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 221344412231124 its reverse (421132214443122), we get a palindrome (642476626674246).

The spelling of 221344412231124 in words is "two hundred twenty-one trillion, three hundred forty-four billion, four hundred twelve million, two hundred thirty-one thousand, one hundred twenty-four".