221210002122012 has 96 divisors (see below), whose sum is σ = 579736814764800. Its totient is φ = 72937133640000.

The previous prime is 221210002121971. The next prime is 221210002122013. The reversal of 221210002122012 is 210221200012122.

It is a happy number.

221210002122012 is a `hidden beast` number, since 221 + 210 + 0 + 0 + 2 + 1 + 220 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221210002122013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1816539 + ... + 21112077.

It is an arithmetic number, because the mean of its divisors is an integer number (6038925153800).

Almost surely, 2^{221210002122012} 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 221210002122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289868407382400).

221210002122012 is an abundant number, since it is smaller than the sum of its proper divisors (358526812642788).

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

221210002122012 is a wasteful number, since it uses less digits than its factorization.

221210002122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19296704 (or 19296696 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221210002122012 its reverse (210221200012122), we get a palindrome (431431202134134).

The spelling of 221210002122012 in words is "two hundred twenty-one trillion, two hundred ten billion, two million, one hundred twenty-two thousand, twelve".