112050026400 has 288 divisors, whose sum is σ = 395430940800. Its totient is φ = 27395297280.

The previous prime is 112050026359. The next prime is 112050026401. The reversal of 112050026400 is 4620050211.

It is not an unprimeable number, because it can be changed into a prime (112050026401) 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 47 ways as a sum of consecutive naturals, for example, 4636749 + ... + 4660851.

It is an arithmetic number, because the mean of its divisors is an integer number (1373024100).

Almost surely, 2^112050026400 is an apocalyptic number.

112050026400 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 112050026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197715470400).

112050026400 is an abundant number, since it is smaller than the sum of its proper divisors (283380914400).

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

112050026400 is a wasteful number, since it uses less digits than its factorization.

112050026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24288 (or 24275 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 112050026400 its reverse (4620050211), we get a palindrome (116670076611).

The spelling of 112050026400 in words is "one hundred twelve billion, fifty million, twenty-six thousand, four hundred".