12480129280 has 72 divisors (see below), whose sum is σ = 30272457600. Its totient is φ = 4928821248.

The previous prime is 12480129247. The next prime is 12480129289. The reversal of 12480129280 is 8292108421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12480129289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39411 + ... + 162829.

It is an arithmetic number, because the mean of its divisors is an integer number (420450800).

Almost surely, 2^12480129280 is an apocalyptic number.

12480129280 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 12480129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15136228800).

12480129280 is an abundant number, since it is smaller than the sum of its proper divisors (17792328320).

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

12480129280 is an equidigital number, since it uses as much as digits as its factorization.

12480129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123519 (or 123505 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 12480129280 in words is "twelve billion, four hundred eighty million, one hundred twenty-nine thousand, two hundred eighty".