112002880 has 112 divisors (see below), whose sum is σ = 297582336. Its totient is φ = 39802880.

The previous prime is 112002871. The next prime is 112002881. The reversal of 112002880 is 88200211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002881) 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 15 ways as a sum of consecutive naturals, for example, 165102 + ... + 165778.

Almost surely, 2^112002880 is an apocalyptic number.

112002880 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 112002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148791168).

112002880 is an abundant number, since it is smaller than the sum of its proper divisors (185579456).

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

112002880 is a wasteful number, since it uses less digits than its factorization.

112002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 112002880 is about 10583.1413105939. The cubic root of 112002880 is about 482.0325844721.

The spelling of 112002880 in words is "one hundred twelve million, two thousand, eight hundred eighty".