112158126251712 has 336 divisors, whose sum is σ = 343808764004160. Its totient is φ = 34833855873024.

The previous prime is 112158126251701. The next prime is 112158126251719. The reversal of 112158126251712 is 217152621851211.

112158126251712 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 5 + 8 + 1 + 2 + 625 + 1 + 7 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (112158126251719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3401910364 + ... + 3401943332.

It is an arithmetic number, because the mean of its divisors is an integer number (1023240369060).

Almost surely, 2^{112158126251712} is an apocalyptic number.

112158126251712 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 112158126251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171904382002080).

112158126251712 is an abundant number, since it is smaller than the sum of its proper divisors (231650637752448).

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

112158126251712 is a wasteful number, since it uses less digits than its factorization.

112158126251712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36480 (or 36467 counting only the distinct ones).

The product of its digits is 134400, while the sum is 45.

The spelling of 112158126251712 in words is "one hundred twelve trillion, one hundred fifty-eight billion, one hundred twenty-six million, two hundred fifty-one thousand, seven hundred twelve".