2212221002112 has 192 divisors, whose sum is σ = 6994581048000. Its totient is φ = 665546664960.

The previous prime is 2212221002063. The next prime is 2212221002129. The reversal of 2212221002112 is 2112001222122.

It is a happy number.

2212221002112 is a `hidden beast` number, since 221 + 22 + 210 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1133439 + ... + 2389377.

It is an arithmetic number, because the mean of its divisors is an integer number (36430109625).

Almost surely, 2^{2212221002112} is an apocalyptic number.

2212221002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212221002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497290524000).

2212221002112 is an abundant number, since it is smaller than the sum of its proper divisors (4782360045888).

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

2212221002112 is a wasteful number, since it uses less digits than its factorization.

2212221002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256109 (or 1256094 counting only the distinct ones).

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

Adding to 2212221002112 its reverse (2112001222122), we get a palindrome (4324222224234).

The spelling of 2212221002112 in words is "two trillion, two hundred twelve billion, two hundred twenty-one million, two thousand, one hundred twelve".