12612410131464 has 384 divisors, whose sum is σ = 41136892917120. Its totient is φ = 3439579852800.

The previous prime is 12612410131417. The next prime is 12612410131501. The reversal of 12612410131464 is 46413101421621.

12612410131464 is a `hidden beast` number, since 1 + 2 + 61 + 2 + 4 + 1 + 0 + 131 + 464 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 680896107 + ... + 680914629.

It is an arithmetic number, because the mean of its divisors is an integer number (107127325305).

Almost surely, 2^{12612410131464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12612410131464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20568446458560).

12612410131464 is an abundant number, since it is smaller than the sum of its proper divisors (28524482785656).

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

12612410131464 is a wasteful number, since it uses less digits than its factorization.

12612410131464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20213 (or 20206 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12612410131464 in words is "twelve trillion, six hundred twelve billion, four hundred ten million, one hundred thirty-one thousand, four hundred sixty-four".