112530000 has 300 divisors, whose sum is σ = 412168064. Its totient is φ = 26400000.

The previous prime is 112529999. The next prime is 112530017. The reversal of 112530000 is 35211.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 3629985 + ... + 3630015.

Almost surely, 2^112530000 is an apocalyptic number.

112530000 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 112530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206084032).

112530000 is an abundant number, since it is smaller than the sum of its proper divisors (299638064).

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

112530000 is a wasteful number, since it uses less digits than its factorization.

112530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 112530000 is about 10608.0158370923. The cubic root of 112530000 is about 482.7875991284.

Adding to 112530000 its reverse (35211), we get a palindrome (112565211).

It can be divided in two parts, 1125 and 30000, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 112530000 in words is "one hundred twelve million, five hundred thirty thousand".