1112121122112 has 1344 divisors, whose sum is σ = 4589699272704. Its totient is φ = 247752622080.

The previous prime is 1112121121999. The next prime is 1112121122137. The reversal of 1112121122112 is 2112211212111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 813548053 + ... + 813549419.

It is an arithmetic number, because the mean of its divisors is an integer number (3414954816).

Almost surely, 2^{1112121122112} is an apocalyptic number.

1112121122112 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 1112121122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294849636352).

1112121122112 is an abundant number, since it is smaller than the sum of its proper divisors (3477578150592).

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

1112121122112 is a wasteful number, since it uses less digits than its factorization.

1112121122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1503 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1112121122112 its reverse (2112211212111), we get a palindrome (3224332334223).

The spelling of 1112121122112 in words is "one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".