112013121000000 has 392 divisors, whose sum is σ = 404133195153888. Its totient is φ = 27154688000000.

The previous prime is 112013120999947. The next prime is 112013121000047. The reversal of 112013121000000 is 121310211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 112013121000000.

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 55 ways as a sum of consecutive naturals, for example, 31302832 + ... + 34697168.

Almost surely, 2^{112013121000000} is an apocalyptic number.

112013121000000 is a gapful number since it is divisible by the number (10) 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 112013121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202066597576944).

112013121000000 is an abundant number, since it is smaller than the sum of its proper divisors (292120074153888).

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

112013121000000 is an frugal number, since it uses more digits than its factorization.

112013121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394393 (or 3394358 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112013121000000 its reverse (121310211), we get a palindrome (112013242310211).

The spelling of 112013121000000 in words is "one hundred twelve trillion, thirteen billion, one hundred twenty-one million", and thus it is an aban number.