112041122334400 has 336 divisors, whose sum is σ = 322578610022592. Its totient is φ = 37508530176000.

The previous prime is 112041122334389. The next prime is 112041122334431. The reversal of 112041122334400 is 4433221140211.

It is a happy number.

112041122334400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92999880 + ... + 94196920.

It is an arithmetic number, because the mean of its divisors is an integer number (960055386972).

Almost surely, 2^{112041122334400} is an apocalyptic number.

112041122334400 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 112041122334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161289305011296).

112041122334400 is an abundant number, since it is smaller than the sum of its proper divisors (210537487688192).

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

112041122334400 is a wasteful number, since it uses less digits than its factorization.

112041122334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197268 (or 1197253 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 112041122334400 its reverse (4433221140211), we get a palindrome (116474343474611).

The spelling of 112041122334400 in words is "one hundred twelve trillion, forty-one billion, one hundred twenty-two million, three hundred thirty-four thousand, four hundred".