112010054400 has 648 divisors, whose sum is σ = 413678210400. Its totient is φ = 28901376000.

The previous prime is 112010054389. The next prime is 112010054417. The reversal of 112010054400 is 4450010211.

112010054400 is a `hidden beast` number, since 1 + 1 + 20 + 100 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249465376 + ... + 249465824.

It is an arithmetic number, because the mean of its divisors is an integer number (638392300).

Almost surely, 2^112010054400 is an apocalyptic number.

112010054400 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 112010054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206839105200).

112010054400 is an abundant number, since it is smaller than the sum of its proper divisors (301668156000).

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

112010054400 is a wasteful number, since it uses less digits than its factorization.

112010054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 112010054400 its reverse (4450010211), we get a palindrome (116460064611).

The spelling of 112010054400 in words is "one hundred twelve billion, ten million, fifty-four thousand, four hundred".