12975200784 has 720 divisors, whose sum is σ = 48985198080. Its totient is φ = 3311642880.

The previous prime is 12975200779. The next prime is 12975200789. The reversal of 12975200784 is 48700257921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12975200779) and next prime (12975200789).

It is a super-2 number, since 2×12975200784² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12975200789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 418554849 + ... + 418554879.

Almost surely, 2^12975200784 is an apocalyptic number.

12975200784 is a gapful number since it is divisible by the number (14) 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 12975200784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24492599040).

12975200784 is an abundant number, since it is smaller than the sum of its proper divisors (36009997296).

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

12975200784 is an equidigital number, since it uses as much as digits as its factorization.

12975200784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12975200784 in words is "twelve billion, nine hundred seventy-five million, two hundred thousand, seven hundred eighty-four".