221131312231122 has 96 divisors (see below), whose sum is σ = 507431145701376. Its totient is φ = 69452194812000.

The previous prime is 221131312230991. The next prime is 221131312231169. The reversal of 221131312231122 is 221132213131122.

221131312231122 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 31 + 312 + 2 + 311 + 2 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30564463 + ... + 37100525.

It is an arithmetic number, because the mean of its divisors is an integer number (5285741101056).

Almost surely, 2^{221131312231122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221131312231122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253715572850688).

221131312231122 is an abundant number, since it is smaller than the sum of its proper divisors (286299833470254).

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

221131312231122 is a wasteful number, since it uses less digits than its factorization.

221131312231122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6537316 (or 6537313 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 221131312231122 its reverse (221132213131122), we get a palindrome (442263525362244).

The spelling of 221131312231122 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, three hundred twelve million, two hundred thirty-one thousand, one hundred twenty-two".