112134334231200 has 288 divisors, whose sum is σ = 384223523120640. Its totient is φ = 28327502822400.

The previous prime is 112134334231159. The next prime is 112134334231201. The reversal of 112134334231200 is 2132433431211.

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

It is not an unprimeable number, because it can be changed into a prime (112134334231201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1808966607 + ... + 1809028593.

It is an arithmetic number, because the mean of its divisors is an integer number (1334109455280).

Almost surely, 2^{112134334231200} is an apocalyptic number.

112134334231200 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 112134334231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192111761560320).

112134334231200 is an abundant number, since it is smaller than the sum of its proper divisors (272089188889440).

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

112134334231200 is a wasteful number, since it uses less digits than its factorization.

112134334231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101700 (or 101687 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 112134334231200 its reverse (2132433431211), we get a palindrome (114266767662411).

The spelling of 112134334231200 in words is "one hundred twelve trillion, one hundred thirty-four billion, three hundred thirty-four million, two hundred thirty-one thousand, two hundred".