1122100112112 has 240 divisors, whose sum is σ = 3441415985280. Its totient is φ = 314041480704.

The previous prime is 1122100112087. The next prime is 1122100112123. The reversal of 1122100112112 is 2112110012211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1122100112091 and 1122100112100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39257058 + ... + 39285630.

It is an arithmetic number, because the mean of its divisors is an integer number (14339233272).

Almost surely, 2^{1122100112112} is an apocalyptic number.

1122100112112 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 1122100112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720707992640).

1122100112112 is an abundant number, since it is smaller than the sum of its proper divisors (2319315873168).

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

1122100112112 is a wasteful number, since it uses less digits than its factorization.

1122100112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28940 (or 28927 counting only the distinct ones).

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

Adding to 1122100112112 its reverse (2112110012211), we get a palindrome (3234210124323).

Subtracting 1122100112112 from its reverse (2112110012211), we obtain a palindrome (990009900099).

The spelling of 1122100112112 in words is "one trillion, one hundred twenty-two billion, one hundred million, one hundred twelve thousand, one hundred twelve".