112312000 has 112 divisors (see below), whose sum is σ = 282915360. Its totient is φ = 44160000.

The previous prime is 112311971. The next prime is 112312007. The reversal of 112312000 is 213211.

It is a super-2 number, since 2×112312000² = 25227970688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112312007) 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, 807931 + ... + 808069.

It is an arithmetic number, because the mean of its divisors is an integer number (2526030).

Almost surely, 2^112312000 is an apocalyptic number.

112312000 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 112312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141457680).

112312000 is an abundant number, since it is smaller than the sum of its proper divisors (170603360).

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

112312000 is a wasteful number, since it uses less digits than its factorization.

112312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 112312000 is about 10597.7356071946. The cubic root of 112312000 is about 482.4756356996.

Adding to 112312000 its reverse (213211), we get a palindrome (112525211).

It can be divided in two parts, 11231 and 2000, that added together give a palindrome (13231).

The spelling of 112312000 in words is "one hundred twelve million, three hundred twelve thousand".