221212112002112 has 224 divisors, whose sum is σ = 563195571941376. Its totient is φ = 83708855193600.

The previous prime is 221212112002087. The next prime is 221212112002117. The reversal of 221212112002112 is 211200211212122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×221212112002112² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221212112002117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26696348 + ... + 33987044.

Almost surely, 2^{221212112002112} is an apocalyptic number.

221212112002112 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 221212112002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281597785970688).

221212112002112 is an abundant number, since it is smaller than the sum of its proper divisors (341983459939264).

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

221212112002112 is a wasteful number, since it uses less digits than its factorization.

221212112002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290905 (or 7290895 counting only the distinct ones).

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

Adding to 221212112002112 its reverse (211200211212122), we get a palindrome (432412323214234).

The spelling of 221212112002112 in words is "two hundred twenty-one trillion, two hundred twelve billion, one hundred twelve million, two thousand, one hundred twelve".