112042512 has 120 divisors (see below), whose sum is σ = 341257176. Its totient is φ = 34172928.

The previous prime is 112042493. The next prime is 112042519. The reversal of 112042512 is 215240211.

112042512 is a `hidden beast` number, since 112 + 0 + 42 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68956416 + 43086096 = 8304^2 + 6564^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112042519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89958 + ... + 91194.

Almost surely, 2^112042512 is an apocalyptic number.

112042512 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 112042512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170628588).

112042512 is an abundant number, since it is smaller than the sum of its proper divisors (229214664).

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

112042512 is a wasteful number, since it uses less digits than its factorization.

112042512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112042512 is about 10585.0135569115. The cubic root of 112042512 is about 482.0894331964.

Adding to 112042512 its reverse (215240211), we get a palindrome (327282723).

The spelling of 112042512 in words is "one hundred twelve million, forty-two thousand, five hundred twelve".