112341829200 has 240 divisors, whose sum is σ = 366934401600. Its totient is φ = 29372313600.

The previous prime is 112341829189. The next prime is 112341829219. The reversal of 112341829200 is 2928143211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 29804916 + ... + 29808684.

It is an arithmetic number, because the mean of its divisors is an integer number (1528893340).

Almost surely, 2^112341829200 is an apocalyptic number.

112341829200 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 112341829200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183467200800).

112341829200 is an abundant number, since it is smaller than the sum of its proper divisors (254592572400).

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

112341829200 is a wasteful number, since it uses less digits than its factorization.

112341829200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 112341829200 in words is "one hundred twelve billion, three hundred forty-one million, eight hundred twenty-nine thousand, two hundred".