112327420800 has 384 divisors, whose sum is σ = 432676949760. Its totient is φ = 25077104640.

The previous prime is 112327420771. The next prime is 112327420879. The reversal of 112327420800 is 8024723211.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2870164 + ... + 2909036.

It is an arithmetic number, because the mean of its divisors is an integer number (1126762890).

Almost surely, 2^112327420800 is an apocalyptic number.

112327420800 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 112327420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216338474880).

112327420800 is an abundant number, since it is smaller than the sum of its proper divisors (320349528960).

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

112327420800 is a wasteful number, since it uses less digits than its factorization.

112327420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38950 (or 38933 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 112327420800 in words is "one hundred twelve billion, three hundred twenty-seven million, four hundred twenty thousand, eight hundred".