112320281920 has 224 divisors, whose sum is σ = 333826811136. Its totient is φ = 34970419200.

The previous prime is 112320281903. The next prime is 112320281923. The reversal of 112320281920 is 29182023211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112320281923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29393610 + ... + 29397430.

It is an arithmetic number, because the mean of its divisors is an integer number (1490298264).

Almost surely, 2^112320281920 is an apocalyptic number.

112320281920 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 112320281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166913405568).

112320281920 is an abundant number, since it is smaller than the sum of its proper divisors (221506529216).

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

112320281920 is a wasteful number, since it uses less digits than its factorization.

112320281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 112320281920 in words is "one hundred twelve billion, three hundred twenty million, two hundred eighty-one thousand, nine hundred twenty".