12479201280 has 1024 divisors, whose sum is σ = 56370585600. Its totient is φ = 2548039680.

The previous prime is 12479201279. The next prime is 12479201281. The reversal of 12479201280 is 8210297421.

It is an interprime number because it is at equal distance from previous prime (12479201279) and next prime (12479201281).

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12479201281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402554865 + ... + 402554895.

It is an arithmetic number, because the mean of its divisors is an integer number (55049400).

Almost surely, 2^12479201280 is an apocalyptic number.

12479201280 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 12479201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28185292800).

12479201280 is an abundant number, since it is smaller than the sum of its proper divisors (43891384320).

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

12479201280 is an equidigital number, since it uses as much as digits as its factorization.

12479201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12479201280 in words is "twelve billion, four hundred seventy-nine million, two hundred one thousand, two hundred eighty".