13011969779712 has 192 divisors, whose sum is σ = 38580209740800. Its totient is φ = 4333313064960.

The previous prime is 13011969779537. The next prime is 13011969779723. The reversal of 13011969779712 is 21797796911031.

13011969779712 is a `hidden beast` number, since 1 + 301 + 196 + 9 + 7 + 79 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×13011969779712³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13011969779712.

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 15 ways as a sum of consecutive naturals, for example, 59998512 + ... + 60214992.

It is an arithmetic number, because the mean of its divisors is an integer number (200938592400).

Almost surely, 2^{13011969779712} is an apocalyptic number.

13011969779712 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 13011969779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290104870400).

13011969779712 is an abundant number, since it is smaller than the sum of its proper divisors (25568239961088).

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

13011969779712 is a wasteful number, since it uses less digits than its factorization.

13011969779712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217599 (or 217573 counting only the distinct ones).

The product of its (nonzero) digits is 9001692, while the sum is 63.

The spelling of 13011969779712 in words is "thirteen trillion, eleven billion, nine hundred sixty-nine million, seven hundred seventy-nine thousand, seven hundred twelve".