12687043461120 has 1280 divisors, whose sum is σ = 53391761280000. Its totient is φ = 2796728352768.

The previous prime is 12687043461119. The next prime is 12687043461121. The reversal of 12687043461120 is 2116434078621.

12687043461120 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 7 + 0 + 4 + 3 + 4 + 611 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12687043461119) and next prime (12687043461121).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×12687043461120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12687043461121) 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, 14368112199 + ... + 14368113081.

It is an arithmetic number, because the mean of its divisors is an integer number (41712313500).

Almost surely, 2^{12687043461120} is an apocalyptic number.

12687043461120 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 12687043461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26695880640000).

12687043461120 is an abundant number, since it is smaller than the sum of its proper divisors (40704717818880).

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

12687043461120 is an frugal number, since it uses more digits than its factorization.

12687043461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12687043461120 in words is "twelve trillion, six hundred eighty-seven billion, forty-three million, four hundred sixty-one thousand, one hundred twenty".