13120978780 has 192 divisors, whose sum is σ = 35165749248. Its totient is φ = 4000389120.

The previous prime is 13120978769. The next prime is 13120978817. The reversal of 13120978780 is 8787902131.

13120978780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13120978780.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17659089 + ... + 17659831.

It is an arithmetic number, because the mean of its divisors is an integer number (183154944).

Almost surely, 2^13120978780 is an apocalyptic number.

13120978780 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 13120978780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582874624).

13120978780 is an abundant number, since it is smaller than the sum of its proper divisors (22044770468).

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

13120978780 is a wasteful number, since it uses less digits than its factorization.

13120978780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The spelling of 13120978780 in words is "thirteen billion, one hundred twenty million, nine hundred seventy-eight thousand, seven hundred eighty".