12461280 has 96 divisors (see below), whose sum is σ = 42293664. Its totient is φ = 3065856.

The previous prime is 12461269. The next prime is 12461311. The reversal of 12461280 is 8216421.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12461280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5242 + ... + 7238.

It is an arithmetic number, because the mean of its divisors is an integer number (440559).

Almost surely, 2^12461280 is an apocalyptic number.

12461280 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 12461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21146832).

12461280 is an abundant number, since it is smaller than the sum of its proper divisors (29832384).

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

12461280 is a wasteful number, since it uses less digits than its factorization.

12461280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12461280 is about 3530.0538239523. The cubic root of 12461280 is about 231.8395640687.

The spelling of 12461280 in words is "twelve million, four hundred sixty-one thousand, two hundred eighty".