112112000 has 384 divisors, whose sum is σ = 380933280. Its totient is φ = 32256000.

The previous prime is 112111997. The next prime is 112112003. The reversal of 112112000 is 211211.

It is an interprime number because it is at equal distance from previous prime (112111997) and next prime (112112003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112003) 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, 8623994 + ... + 8624006.

Almost surely, 2^112112000 is an apocalyptic number.

112112000 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 112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

112112000 is an abundant number, since it is smaller than the sum of its proper divisors (268821280).

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

112112000 is a wasteful number, since it uses less digits than its factorization.

112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 112112000 is about 10588.2954246659. The cubic root of 112112000 is about 482.1890754570.

Adding to 112112000 its reverse (211211), we get a palindrome (112323211).

The spelling of 112112000 in words is "one hundred twelve million, one hundred twelve thousand".