12641274980 has 48 divisors (see below), whose sum is σ = 27281593584. Its totient is φ = 4917319680.

The previous prime is 12641274979. The next prime is 12641275007. The reversal of 12641274980 is 8947214621.

12641274980 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 8 ways, for example, as 8029235236 + 4612039744 = 89606^2 + 67912^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 232034 + ... + 281286.

It is an arithmetic number, because the mean of its divisors is an integer number (568366533).

Almost surely, 2^12641274980 is an apocalyptic number.

12641274980 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 12641274980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13640796792).

12641274980 is an abundant number, since it is smaller than the sum of its proper divisors (14640318604).

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

12641274980 is a wasteful number, since it uses less digits than its factorization.

12641274980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49616 (or 49614 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 12641274980 in words is "twelve billion, six hundred forty-one million, two hundred seventy-four thousand, nine hundred eighty".