112434000 has 160 divisors (see below), whose sum is σ = 414425856. Its totient is φ = 25689600.

The previous prime is 112433969. The next prime is 112434019. The reversal of 112434000 is 434211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40662 + ... + 43338.

Almost surely, 2^112434000 is an apocalyptic number.

112434000 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 112434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207212928).

112434000 is an abundant number, since it is smaller than the sum of its proper divisors (301991856).

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

112434000 is a wasteful number, since it uses less digits than its factorization.

112434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 112434000 is about 10603.4899915075. The cubic root of 112434000 is about 482.6502704292.

Adding to 112434000 its reverse (434211), we get a palindrome (112868211).

The spelling of 112434000 in words is "one hundred twelve million, four hundred thirty-four thousand".