12461426280 has 144 divisors (see below), whose sum is σ = 40768306020. Its totient is φ = 3301097472.

The previous prime is 12461426249. The next prime is 12461426339. The reversal of 12461426280 is 8262416421.

12461426280 is a `hidden beast` number, since 1 + 24 + 6 + 1 + 4 + 2 + 628 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11641978404 + 819447876 = 107898^2 + 28626^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33954657 + ... + 33955023.

Almost surely, 2^12461426280 is an apocalyptic number.

12461426280 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 12461426280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384153010).

12461426280 is an abundant number, since it is smaller than the sum of its proper divisors (28306879740).

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

12461426280 is a wasteful number, since it uses less digits than its factorization.

12461426280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12461426280 in words is "twelve billion, four hundred sixty-one million, four hundred twenty-six thousand, two hundred eighty".