12131777470680 has 1728 divisors, whose sum is σ = 50439519655200. Its totient is φ = 2513800396800.

The previous prime is 12131777470627. The next prime is 12131777470759. The reversal of 12131777470680 is 8607477713121.

12131777470680 is a `hidden beast` number, since 1 + 2 + 13 + 17 + 77 + 470 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34367641384 + ... + 34367641736.

Almost surely, 2^{12131777470680} is an apocalyptic number.

12131777470680 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 12131777470680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25219759827600).

12131777470680 is an abundant number, since it is smaller than the sum of its proper divisors (38307742184520).

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

12131777470680 is a wasteful number, since it uses less digits than its factorization.

12131777470680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 12131777470680 in words is "twelve trillion, one hundred thirty-one billion, seven hundred seventy-seven million, four hundred seventy thousand, six hundred eighty".