112300032 has 208 divisors, whose sum is σ = 348608960. Its totient is φ = 31850496.

The previous prime is 112300003. The next prime is 112300039. The reversal of 112300032 is 230003211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×112300032² = 25222594374402048, which contains 22 as substring.

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

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 112299990 and 112300017.

It is not an unprimeable number, because it can be changed into a prime (112300039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3035118 + ... + 3035154.

Almost surely, 2^112300032 is an apocalyptic number.

112300032 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 112300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174304480).

112300032 is an abundant number, since it is smaller than the sum of its proper divisors (236308928).

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

112300032 is a wasteful number, since it uses less digits than its factorization.

112300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 112300032 is about 10597.1709432282. The cubic root of 112300032 is about 482.4584975086.

Adding to 112300032 its reverse (230003211), we get a palindrome (342303243).

It can be divided in two parts, 11 and 2300032, that multiplied together give a palindrome (25300352).

The spelling of 112300032 in words is "one hundred twelve million, three hundred thousand, thirty-two".