222121122011012 has 192 divisors, whose sum is σ = 461694487984128. Its totient is φ = 91531607040000.

The previous prime is 222121122011003. The next prime is 222121122011029. The reversal of 222121122011012 is 210110221121222.

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 63 ways as a sum of consecutive naturals, for example, 45027591698 + ... + 45027596630.

It is an arithmetic number, because the mean of its divisors is an integer number (2404658791584).

Almost surely, 2^{222121122011012} 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 222121122011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230847243992064).

222121122011012 is an abundant number, since it is smaller than the sum of its proper divisors (239573365973116).

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

222121122011012 is a wasteful number, since it uses less digits than its factorization.

222121122011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 222121122011012 its reverse (210110221121222), we get a palindrome (432231343132234).

The spelling of 222121122011012 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, eleven thousand, twelve".