12742265280 has 224 divisors, whose sum is σ = 41131540800. Its totient is φ = 3341713408.

The previous prime is 12742265257. The next prime is 12742265281. The reversal of 12742265280 is 8256224721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12742265281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25033666 + ... + 25034174.

It is an arithmetic number, because the mean of its divisors is an integer number (183622950).

Almost surely, 2^12742265280 is an apocalyptic number.

12742265280 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 12742265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20565770400).

12742265280 is an abundant number, since it is smaller than the sum of its proper divisors (28389275520).

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

12742265280 is a wasteful number, since it uses less digits than its factorization.

12742265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 12742265280 in words is "twelve billion, seven hundred forty-two million, two hundred sixty-five thousand, two hundred eighty".