112013030400 has 264 divisors, whose sum is σ = 380224190880. Its totient is φ = 29062103040.

The previous prime is 112013030399. The next prime is 112013030417. The reversal of 112013030400 is 4030310211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112013030400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2821891 + ... + 2861309.

Almost surely, 2^112013030400 is an apocalyptic number.

112013030400 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 112013030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190112095440).

112013030400 is an abundant number, since it is smaller than the sum of its proper divisors (268211160480).

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

112013030400 is a wasteful number, since it uses less digits than its factorization.

112013030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39489 (or 39466 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112013030400 its reverse (4030310211), we get a palindrome (116043340611).

The spelling of 112013030400 in words is "one hundred twelve billion, thirteen million, thirty thousand, four hundred".