221132210312 has 64 divisors (see below), whose sum is σ = 451118067120. Its totient is φ = 101014437888.

The previous prime is 221132210311. The next prime is 221132210347. The reversal of 221132210312 is 213012231122.

It can be written as a sum of positive squares in 8 ways, for example, as 182009743876 + 39122466436 = 426626^2 + 197794^2 .

It is a super-3 number, since 3×221132210312³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (221132210311) 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, 4169948 + ... + 4222644.

Almost surely, 2^221132210312 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 221132210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225559033560).

221132210312 is an abundant number, since it is smaller than the sum of its proper divisors (229985856808).

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

221132210312 is a wasteful number, since it uses less digits than its factorization.

221132210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53130 (or 53126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221132210312 its reverse (213012231122), we get a palindrome (434144441434).

The spelling of 221132210312 in words is "two hundred twenty-one billion, one hundred thirty-two million, two hundred ten thousand, three hundred twelve".