112051200 has 132 divisors (see below), whose sum is σ = 370588880. Its totient is φ = 29859840.

The previous prime is 112051141. The next prime is 112051201. The reversal of 112051200 is 2150211.

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

It is not an unprimeable number, because it can be changed into a prime (112051201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76071 + ... + 77529.

Almost surely, 2^112051200 is an apocalyptic number.

112051200 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 112051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185294440).

112051200 is an abundant number, since it is smaller than the sum of its proper divisors (258537680).

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

112051200 is a wasteful number, since it uses less digits than its factorization.

112051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 112051200 is about 10585.4239404948. The cubic root of 112051200 is about 482.1018935999.

The spelling of 112051200 in words is "one hundred twelve million, fifty-one thousand, two hundred".