221122011312 has 240 divisors, whose sum is σ = 674271254592. Its totient is φ = 67363799040.

The previous prime is 221122011269. The next prime is 221122011323. The reversal of 221122011312 is 213110221122.

221122011312 is a `hidden beast` number, since 221 + 122 + 0 + 11 + 312 = 666.

221122011312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221122011312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52260237 + ... + 52264467.

Almost surely, 2^221122011312 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 221122011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337135627296).

221122011312 is an abundant number, since it is smaller than the sum of its proper divisors (453149243280).

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

221122011312 is a wasteful number, since it uses less digits than its factorization.

221122011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221122011312 its reverse (213110221122), we get a palindrome (434232232434).

The spelling of 221122011312 in words is "two hundred twenty-one billion, one hundred twenty-two million, eleven thousand, three hundred twelve".