112314240 has 384 divisors, whose sum is σ = 435352320. Its totient is φ = 26542080.

The previous prime is 112314239. The next prime is 112314269. The reversal of 112314240 is 42413211.

112314240 is a `hidden beast` number, since 11 + 231 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×112314240² = 25228977013555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3035502 + ... + 3035538.

It is an arithmetic number, because the mean of its divisors is an integer number (1133730).

Almost surely, 2^112314240 is an apocalyptic number.

112314240 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 112314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217676160).

112314240 is an abundant number, since it is smaller than the sum of its proper divisors (323038080).

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

112314240 is a wasteful number, since it uses less digits than its factorization.

112314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112314240 is about 10597.8412896212. The cubic root of 112314240 is about 482.4788432471.

Adding to 112314240 its reverse (42413211), we get a palindrome (154727451).

The spelling of 112314240 in words is "one hundred twelve million, three hundred fourteen thousand, two hundred forty".