13249022810112 has 288 divisors, whose sum is σ = 38890508136480. Its totient is φ = 4344496128000.

The previous prime is 13249022810071. The next prime is 13249022810113. The reversal of 13249022810112 is 21101822094231.

It is a happy number.

13249022810112 is a `hidden beast` number, since 1 + 32 + 490 + 2 + 28 + 1 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13249022810113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603286812 + ... + 603308772.

It is an arithmetic number, because the mean of its divisors is an integer number (135036486585).

Almost surely, 2^{13249022810112} is an apocalyptic number.

13249022810112 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 13249022810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445254068240).

13249022810112 is an abundant number, since it is smaller than the sum of its proper divisors (25641485326368).

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

13249022810112 is a wasteful number, since it uses less digits than its factorization.

13249022810112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22521 (or 22498 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13249022810112 in words is "thirteen trillion, two hundred forty-nine billion, twenty-two million, eight hundred ten thousand, one hundred twelve".