112113214400 has 168 divisors, whose sum is σ = 303713723280. Its totient is φ = 40393728000.

The previous prime is 112113214391. The next prime is 112113214403. The reversal of 112113214400 is 4412311211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112113214403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889180 + ... + 1947620.

Almost surely, 2^112113214400 is an apocalyptic number.

112113214400 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 112113214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151856861640).

112113214400 is an abundant number, since it is smaller than the sum of its proper divisors (191600508880).

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

112113214400 is a wasteful number, since it uses less digits than its factorization.

112113214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58583 (or 58568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 112113214400 its reverse (4412311211), we get a palindrome (116525525611).

The spelling of 112113214400 in words is "one hundred twelve billion, one hundred thirteen million, two hundred fourteen thousand, four hundred".