12800112 has 80 divisors (see below), whose sum is σ = 36226848. Its totient is φ = 3870720.

The previous prime is 12800087. The next prime is 12800131. The reversal of 12800112 is 21100821.

It is a junction number, because it is equal to n+sod(n) for n = 12800091 and 12800100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45412 + ... + 45692.

Almost surely, 2^12800112 is an apocalyptic number.

12800112 is a gapful number since it is divisible by the number (12) 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 12800112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113424).

12800112 is an abundant number, since it is smaller than the sum of its proper divisors (23426736).

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

12800112 is a wasteful number, since it uses less digits than its factorization.

12800112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 12800112 is about 3577.7244164413. The cubic root of 12800112 is about 233.9221013258.

Adding to 12800112 its reverse (21100821), we get a palindrome (33900933).

The spelling of 12800112 in words is "twelve million, eight hundred thousand, one hundred twelve".