12783110400 has 324 divisors, whose sum is σ = 47183368960. Its totient is φ = 3298406400.

The previous prime is 12783110399. The next prime is 12783110443. The reversal of 12783110400 is 401138721.

12783110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12783110400² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1782021 + ... + 1789179.

Almost surely, 2^12783110400 is an apocalyptic number.

12783110400 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 12783110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23591684480).

12783110400 is an abundant number, since it is smaller than the sum of its proper divisors (34400258560).

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

12783110400 is a wasteful number, since it uses less digits than its factorization.

12783110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12783110400 in words is "twelve billion, seven hundred eighty-three million, one hundred ten thousand, four hundred".