112801920 has 384 divisors, whose sum is σ = 460468800. Its totient is φ = 23224320.

The previous prime is 112801907. The next prime is 112801921. The reversal of 112801920 is 29108211.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112801921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1034826 + ... + 1034934.

Almost surely, 2^112801920 is an apocalyptic number.

112801920 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 112801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230234400).

112801920 is an abundant number, since it is smaller than the sum of its proper divisors (347666880).

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

112801920 is a wasteful number, since it uses less digits than its factorization.

112801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 112801920 is about 10620.8248267260. The cubic root of 112801920 is about 483.1761592261.

The spelling of 112801920 in words is "one hundred twelve million, eight hundred one thousand, nine hundred twenty".