222121002112 has 64 divisors (see below), whose sum is σ = 455070960000. Its totient is φ = 107946302464.

The previous prime is 222121002109. The next prime is 222121002137. The reversal of 222121002112 is 211200121222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572889 + ... + 878887.

It is an arithmetic number, because the mean of its divisors is an integer number (7110483750).

Almost surely, 2^222121002112 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 222121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227535480000).

222121002112 is an abundant number, since it is smaller than the sum of its proper divisors (232949957888).

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

222121002112 is a wasteful number, since it uses less digits than its factorization.

222121002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306173 (or 306161 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222121002112 its reverse (211200121222), we get a palindrome (433321123334).

The spelling of 222121002112 in words is "two hundred twenty-two billion, one hundred twenty-one million, two thousand, one hundred twelve".