221341505143122 has 768 divisors, whose sum is σ = 618209001446400. Its totient is φ = 55686959308800.

The previous prime is 221341505143117. The next prime is 221341505143123.

221341505143122 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 1 + 505 + 143 + 1 + 2 + 2 = 666.

221341505143122 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (221341505143123) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 377072410513 + ... + 377072411099.

It is an arithmetic number, because the mean of its divisors is an integer number (804959637300).

Almost surely, 2^{221341505143122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221341505143122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309104500723200).

221341505143122 is an abundant number, since it is smaller than the sum of its proper divisors (396867496303278).

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

221341505143122 is a wasteful number, since it uses less digits than its factorization.

221341505143122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 22134150 and 5143122, that added together give a palindrome (27277272).

The spelling of 221341505143122 in words is "two hundred twenty-one trillion, three hundred forty-one billion, five hundred five million, one hundred forty-three thousand, one hundred twenty-two".