12790412500 has 72 divisors (see below), whose sum is σ = 28294048440. Its totient is φ = 5058240000.

The previous prime is 12790412441. The next prime is 12790412501. The reversal of 12790412500 is 521409721.

It can be written as a sum of positive squares in 12 ways, for example, as 12713464516 + 76947984 = 112754^2 + 8772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12790412501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106752 + ... + 1118248.

It is an arithmetic number, because the mean of its divisors is an integer number (392972895).

Almost surely, 2^12790412500 is an apocalyptic number.

12790412500 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 12790412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14147024220).

12790412500 is an abundant number, since it is smaller than the sum of its proper divisors (15503635940).

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

12790412500 is an equidigital number, since it uses as much as digits as its factorization.

12790412500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11615 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 12790412500 in words is "twelve billion, seven hundred ninety million, four hundred twelve thousand, five hundred".