112012411120 has 80 divisors (see below), whose sum is σ = 276200089920. Its totient is φ = 42100273152.

The previous prime is 112012411109. The next prime is 112012411129. The reversal of 112012411120 is 21114210211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112012411094 and 112012411103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012411129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766501 + ... + 900859.

It is an arithmetic number, because the mean of its divisors is an integer number (3452501124).

Almost surely, 2^112012411120 is an apocalyptic number.

112012411120 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 112012411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138100044960).

112012411120 is an abundant number, since it is smaller than the sum of its proper divisors (164187678800).

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

112012411120 is a wasteful number, since it uses less digits than its factorization.

112012411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135002 (or 134996 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112012411120 its reverse (21114210211), we get a palindrome (133126621331).

The spelling of 112012411120 in words is "one hundred twelve billion, twelve million, four hundred eleven thousand, one hundred twenty".