112800145920 has 1280 divisors, whose sum is σ = 473472552960. Its totient is φ = 22236364800.

The previous prime is 112800145853. The next prime is 112800145957. The reversal of 112800145920 is 29541008211.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 1849182690 + ... + 1849182750.

It is an arithmetic number, because the mean of its divisors is an integer number (369900432).

Almost surely, 2^112800145920 is an apocalyptic number.

112800145920 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 112800145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236736276480).

112800145920 is an abundant number, since it is smaller than the sum of its proper divisors (360672407040).

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

112800145920 is a wasteful number, since it uses less digits than its factorization.

112800145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 112800145920 in words is "one hundred twelve billion, eight hundred million, one hundred forty-five thousand, nine hundred twenty".