12461118840 has 256 divisors, whose sum is σ = 43908480000. Its totient is φ = 3134744064.

The previous prime is 12461118833. The next prime is 12461118841. The reversal of 12461118840 is 4881116421.

12461118840 is a `hidden beast` number, since 1 + 2 + 461 + 118 + 84 + 0 = 666.

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 = 12461118795 and 12461118804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12461118841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5395606 + ... + 5397914.

It is an arithmetic number, because the mean of its divisors is an integer number (171517500).

Almost surely, 2^12461118840 is an apocalyptic number.

12461118840 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 12461118840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240000).

12461118840 is an abundant number, since it is smaller than the sum of its proper divisors (31447361160).

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

12461118840 is a wasteful number, since it uses less digits than its factorization.

12461118840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 12461118840 in words is "twelve billion, four hundred sixty-one million, one hundred eighteen thousand, eight hundred forty".