12460457681280 has 1280 divisors, whose sum is σ = 52524787392000. Its totient is φ = 2813456830464.

The previous prime is 12460457681279. The next prime is 12460457681297. The reversal of 12460457681280 is 8218675406421.

12460457681280 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 0 + 457 + 68 + 128 + 0 = 666.

It is a super-3 number, since 3×12460457681280³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 1475828739 + ... + 1475837181.

It is an arithmetic number, because the mean of its divisors is an integer number (41034990150).

Almost surely, 2^{12460457681280} is an apocalyptic number.

12460457681280 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 12460457681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26262393696000).

12460457681280 is an abundant number, since it is smaller than the sum of its proper divisors (40064329710720).

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

12460457681280 is an frugal number, since it uses more digits than its factorization.

12460457681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8578 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 12460457681280 in words is "twelve trillion, four hundred sixty billion, four hundred fifty-seven million, six hundred eighty-one thousand, two hundred eighty".