221122011210112 has 128 divisors (see below), whose sum is σ = 462511458201600. Its totient is φ = 105174751518720.

The previous prime is 221122011210101. The next prime is 221122011210173. The reversal of 221122011210112 is 211012110221122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×221122011210112² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221122011210112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69604408 + ... + 72711880.

It is an arithmetic number, because the mean of its divisors is an integer number (3613370767200).

Almost surely, 2^{221122011210112} 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 221122011210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231255729100800).

221122011210112 is an abundant number, since it is smaller than the sum of its proper divisors (241389446991488).

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

221122011210112 is a wasteful number, since it uses less digits than its factorization.

221122011210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107824 (or 3107812 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 221122011210112 its reverse (211012110221122), we get a palindrome (432134121431234).

The spelling of 221122011210112 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, eleven million, two hundred ten thousand, one hundred twelve".