12485280 has 144 divisors (see below), whose sum is σ = 42547680. Its totient is φ = 3068928.

The previous prime is 12485273. The next prime is 12485287. The reversal of 12485280 is 8258421.

It is an interprime number because it is at equal distance from previous prime (12485273) and next prime (12485287).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12485287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337422 + ... + 337458.

It is an arithmetic number, because the mean of its divisors is an integer number (295470).

Almost surely, 2^12485280 is an apocalyptic number.

12485280 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 12485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273840).

12485280 is an abundant number, since it is smaller than the sum of its proper divisors (30062400).

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

12485280 is a wasteful number, since it uses less digits than its factorization.

12485280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 12485280 is about 3533.4515703487. The cubic root of 12485280 is about 231.9883069810.

The spelling of 12485280 in words is "twelve million, four hundred eighty-five thousand, two hundred eighty".