13068124844112 has 320 divisors, whose sum is σ = 40496395564800. Its totient is φ = 4010960609280.

The previous prime is 13068124844107. The next prime is 13068124844141. The reversal of 13068124844112 is 21144842186031.

13068124844112 is a `hidden beast` number, since 1 + 30 + 6 + 8 + 124 + 84 + 411 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5420208187 + ... + 5420210597.

It is an arithmetic number, because the mean of its divisors is an integer number (126551236140).

Almost surely, 2^{13068124844112} is an apocalyptic number.

13068124844112 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 13068124844112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248197782400).

13068124844112 is an abundant number, since it is smaller than the sum of its proper divisors (27428270720688).

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

13068124844112 is a wasteful number, since it uses less digits than its factorization.

13068124844112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 13068124844112 in words is "thirteen trillion, sixty-eight billion, one hundred twenty-four million, eight hundred forty-four thousand, one hundred twelve".