112034168400 has 1440 divisors, whose sum is σ = 504320007168. Its totient is φ = 20910489600.

The previous prime is 112034168381. The next prime is 112034168443. The reversal of 112034168400 is 4861430211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 252898579 + ... + 252899021.

Almost surely, 2^112034168400 is an apocalyptic number.

112034168400 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 112034168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252160003584).

112034168400 is an abundant number, since it is smaller than the sum of its proper divisors (392285838768).

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

112034168400 is a wasteful number, since it uses less digits than its factorization.

112034168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 112034168400 its reverse (4861430211), we get a palindrome (116895598611).

The spelling of 112034168400 in words is "one hundred twelve billion, thirty-four million, one hundred sixty-eight thousand, four hundred".