112282329600 has 1080 divisors, whose sum is σ = 479366604288. Its totient is φ = 25530163200.

The previous prime is 112282329563. The next prime is 112282329617. The reversal of 112282329600 is 6923282211.

It is a happy number.

112282329600 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 8 + 23 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 587865505 + ... + 587865695.

Almost surely, 2^112282329600 is an apocalyptic number.

112282329600 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 112282329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239683302144).

112282329600 is an abundant number, since it is smaller than the sum of its proper divisors (367084274688).

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

112282329600 is an frugal number, since it uses more digits than its factorization.

112282329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 112282329600 in words is "one hundred twelve billion, two hundred eighty-two million, three hundred twenty-nine thousand, six hundred".