12701280 has 96 divisors (see below), whose sum is σ = 40932864. Its totient is φ = 3309056.

The previous prime is 12701263. The next prime is 12701287. The reversal of 12701280 is 8210721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12701280² = 322645027276800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12701287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22279 + ... + 22841.

It is an arithmetic number, because the mean of its divisors is an integer number (426384).

Almost surely, 2^12701280 is an apocalyptic number.

12701280 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 12701280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20466432).

12701280 is an abundant number, since it is smaller than the sum of its proper divisors (28231584).

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

12701280 is a wasteful number, since it uses less digits than its factorization.

12701280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 12701280 is about 3563.8855200469. The cubic root of 12701280 is about 233.3184933873.

The spelling of 12701280 in words is "twelve million, seven hundred one thousand, two hundred eighty".