1112120102112 has 96 divisors (see below), whose sum is σ = 3092491809792. Its totient is φ = 348736518144.

The previous prime is 1112120102087. The next prime is 1112120102117. The reversal of 1112120102112 is 2112010212111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1112120102112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1112120102091 and 1112120102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112120102117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3338383 + ... + 3656369.

It is an arithmetic number, because the mean of its divisors is an integer number (32213456352).

Almost surely, 2^{1112120102112} is an apocalyptic number.

1112120102112 is a gapful number since it is divisible by the number (12) 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 1112120102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546245904896).

1112120102112 is an abundant number, since it is smaller than the sum of its proper divisors (1980371707680).

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

1112120102112 is a wasteful number, since it uses less digits than its factorization.

1112120102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320160 (or 320152 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1112120102112 its reverse (2112010212111), we get a palindrome (3224130314223).

The spelling of 1112120102112 in words is "one trillion, one hundred twelve billion, one hundred twenty million, one hundred two thousand, one hundred twelve".