12778557120 has 1008 divisors, whose sum is σ = 55506567168. Its totient is φ = 2682408960.

The previous prime is 12778557109. The next prime is 12778557137. The reversal of 12778557120 is 2175587721.

12778557120 is a `hidden beast` number, since 1 + 2 + 7 + 78 + 5 + 571 + 2 + 0 = 666.

12778557120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 100618497 + ... + 100618623.

Almost surely, 2^12778557120 is an apocalyptic number.

12778557120 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 12778557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27753283584).

12778557120 is an abundant number, since it is smaller than the sum of its proper divisors (42728010048).

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

12778557120 is a wasteful number, since it uses less digits than its factorization.

12778557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 12778557120 in words is "twelve billion, seven hundred seventy-eight million, five hundred fifty-seven thousand, one hundred twenty".