112800049920 has 216 divisors, whose sum is σ = 390653997552. Its totient is φ = 30050918400.

The previous prime is 112800049909. The next prime is 112800049951. The reversal of 112800049920 is 29940008211.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13600975 + ... + 13609265.

It is an arithmetic number, because the mean of its divisors is an integer number (1808583322).

Almost surely, 2^112800049920 is an apocalyptic number.

112800049920 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 112800049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195326998776).

112800049920 is an abundant number, since it is smaller than the sum of its proper divisors (277853947632).

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

112800049920 is a wasteful number, since it uses less digits than its factorization.

112800049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9499 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 112800049920 in words is "one hundred twelve billion, eight hundred million, forty-nine thousand, nine hundred twenty".