12461253840 has 240 divisors, whose sum is σ = 49599408768. Its totient is φ = 2848255488.

The previous prime is 12461253719. The next prime is 12461253859. The reversal of 12461253840 is 4835216421.

It is a happy number.

12461253840 is a `hidden beast` number, since 1 + 2 + 4 + 612 + 5 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 12461253795 and 12461253804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90294 + ... + 181866.

Almost surely, 2^12461253840 is an apocalyptic number.

12461253840 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 12461253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24799704384).

12461253840 is an abundant number, since it is smaller than the sum of its proper divisors (37138154928).

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

12461253840 is an equidigital number, since it uses as much as digits as its factorization.

12461253840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91608 (or 91590 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12461253840 in words is "twelve billion, four hundred sixty-one million, two hundred fifty-three thousand, eight hundred forty".