12461000 has 64 divisors (see below), whose sum is σ = 30916080. Its totient is φ = 4684800.

The previous prime is 12460999. The next prime is 12461011. The reversal of 12461000 is 16421.

12461000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4519876 + 7941124 = 2126^2 + 2818^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16634 + ... + 17366.

Almost surely, 2^12461000 is an apocalyptic number.

12461000 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 12461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458040).

12461000 is an abundant number, since it is smaller than the sum of its proper divisors (18455080).

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

12461000 is a wasteful number, since it uses less digits than its factorization.

12461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12461000 is about 3530.0141642775. The cubic root of 12461000 is about 231.8378276082.

Adding to 12461000 its reverse (16421), we get a palindrome (12477421).

The spelling of 12461000 in words is "twelve million, four hundred sixty-one thousand".