112123200 has 336 divisors, whose sum is σ = 435400704. Its totient is φ = 24729600.

The previous prime is 112123181. The next prime is 112123201. The reversal of 112123200 is 2321211.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×112123200² = 25143223956480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112123201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1579165 + ... + 1579235.

Almost surely, 2^112123200 is an apocalyptic number.

112123200 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 112123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217700352).

112123200 is an abundant number, since it is smaller than the sum of its proper divisors (323277504).

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

112123200 is a wasteful number, since it uses less digits than its factorization.

112123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112123200 is about 10588.8242973429. The cubic root of 112123200 is about 482.2051318346.

Adding to 112123200 its reverse (2321211), we get a palindrome (114444411).

The spelling of 112123200 in words is "one hundred twelve million, one hundred twenty-three thousand, two hundred".