112113000000 has 294 divisors, whose sum is σ = 401716693898. Its totient is φ = 29894400000.

The previous prime is 112112999969. The next prime is 112113000007. The reversal of 112113000000 is 311211.

It can be written as a sum of positive squares in 7 ways, for example, as 109836565056 + 2276434944 = 331416^2 + 47712^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112113000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8993772 + ... + 9006228.

Almost surely, 2^112113000000 is an apocalyptic number.

112113000000 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 112113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200858346949).

112113000000 is an abundant number, since it is smaller than the sum of its proper divisors (289603693898).

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

112113000000 is an frugal number, since it uses more digits than its factorization.

112113000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12505 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 112113000000 its reverse (311211), we get a palindrome (112113311211).

The spelling of 112113000000 in words is "one hundred twelve billion, one hundred thirteen million", and thus it is an aban number.