13127041782120 has 512 divisors, whose sum is σ = 48746966400000. Its totient is φ = 2817002668032.

The previous prime is 13127041782061. The next prime is 13127041782163. The reversal of 13127041782120 is 2128714072131.

It is a happy 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 127 ways as a sum of consecutive naturals, for example, 286162546 + ... + 286208414.

It is an arithmetic number, because the mean of its divisors is an integer number (95208918750).

Almost surely, 2^{13127041782120} is an apocalyptic number.

13127041782120 is a gapful number since it is divisible by the number (10) 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 13127041782120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373483200000).

13127041782120 is an abundant number, since it is smaller than the sum of its proper divisors (35619924617880).

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

13127041782120 is a wasteful number, since it uses less digits than its factorization.

13127041782120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46330 (or 46312 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 13127041782120 in words is "thirteen trillion, one hundred twenty-seven billion, forty-one million, seven hundred eighty-two thousand, one hundred twenty".