12782970000 has 300 divisors, whose sum is σ = 45017061804. Its totient is φ = 3384960000.

The previous prime is 12782969977. The next prime is 12782970017. The reversal of 12782970000 is 7928721.

12782970000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 8420631696 + 4362338304 = 91764^2 + 66048^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

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 59 ways as a sum of consecutive naturals, for example, 15569590 + ... + 15570410.

Almost surely, 2^12782970000 is an apocalyptic number.

12782970000 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 12782970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22508530902).

12782970000 is an abundant number, since it is smaller than the sum of its proper divisors (32234091804).

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

12782970000 is a wasteful number, since it uses less digits than its factorization.

12782970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 12782970000 in words is "twelve billion, seven hundred eighty-two million, nine hundred seventy thousand".