12113200 has 60 divisors (see below), whose sum is σ = 31759128. Its totient is φ = 4403200.

The previous prime is 12113191. The next prime is 12113201. The reversal of 12113200 is 231121.

It is a super-2 number, since 2×12113200² = 293459228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113201) 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 11 ways as a sum of consecutive naturals, for example, 3024 + ... + 5776.

Almost surely, 2^12113200 is an apocalyptic number.

12113200 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 12113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15879564).

12113200 is an abundant number, since it is smaller than the sum of its proper divisors (19645928).

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

12113200 is a wasteful number, since it uses less digits than its factorization.

12113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12113200 is about 3480.4022755998. The cubic root of 12113200 is about 229.6604946885.

Adding to 12113200 its reverse (231121), we get a palindrome (12344321).

The spelling of 12113200 in words is "twelve million, one hundred thirteen thousand, two hundred".