112111010000000 has 512 divisors, whose sum is σ = 307608103146240. Its totient is φ = 40360000000000.

The previous prime is 112111009999999. The next prime is 112111010000051. The reversal of 112111010000000 is 10111211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11109994955 + ... + 11110005045.

Almost surely, 2^{112111010000000} is an apocalyptic number.

112111010000000 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 112111010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153804051573120).

112111010000000 is an abundant number, since it is smaller than the sum of its proper divisors (195497093146240).

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

112111010000000 is an frugal number, since it uses more digits than its factorization.

112111010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10252 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 112111010000000 its reverse (10111211), we get a palindrome (112111020111211).

The spelling of 112111010000000 in words is "one hundred twelve trillion, one hundred eleven billion, ten million", and thus it is an aban number.