112221012122112 has 80 divisors (see below), whose sum is σ = 305916436568160. Its totient is φ = 36537073692672.

The previous prime is 112221012122101. The next prime is 112221012122137. The reversal of 112221012122112 is 211221210122211.

It is a super-3 number, since 3×112221012122112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 849475287 + ... + 849607382.

It is an arithmetic number, because the mean of its divisors is an integer number (3823955457102).

Almost surely, 2^{112221012122112} is an apocalyptic number.

112221012122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112221012122112 is an abundant number, since it is smaller than the sum of its proper divisors (193695424446048).

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

112221012122112 is an equidigital number, since it uses as much as digits as its factorization.

112221012122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699082733 (or 1699082717 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 112221012122112 its reverse (211221210122211), we get a palindrome (323442222244323).

The spelling of 112221012122112 in words is "one hundred twelve trillion, two hundred twenty-one billion, twelve million, one hundred twenty-two thousand, one hundred twelve".