112591142104512 has 448 divisors, whose sum is σ = 324753316659200. Its totient is φ = 34295519232000.

The previous prime is 112591142104501. The next prime is 112591142104537. The reversal of 112591142104512 is 215401241195211.

It is a super-3 number, since 3×112591142104512³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75615272664 + ... + 75615274152.

Almost surely, 2^{112591142104512} is an apocalyptic number.

112591142104512 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 112591142104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162376658329600).

112591142104512 is an abundant number, since it is smaller than the sum of its proper divisors (212162174554688).

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

112591142104512 is a wasteful number, since it uses less digits than its factorization.

112591142104512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

Adding to 112591142104512 its reverse (215401241195211), we get a palindrome (327992383299723).

The spelling of 112591142104512 in words is "one hundred twelve trillion, five hundred ninety-one billion, one hundred forty-two million, one hundred four thousand, five hundred twelve".