12707273066400 has 3456 divisors, whose sum is σ = 56232000921600. Its totient is φ = 2776405248000.

The previous prime is 12707273066399. The next prime is 12707273066461. The reversal of 12707273066400 is 466037270721.

12707273066400 is a `hidden beast` number, since 1 + 270 + 72 + 7 + 306 + 6 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×12707273066400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 215377509571 + ... + 215377509629.

It is an arithmetic number, because the mean of its divisors is an integer number (16270833600).

Almost surely, 2^{12707273066400} is an apocalyptic number.

12707273066400 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 12707273066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28116000460800).

12707273066400 is an abundant number, since it is smaller than the sum of its proper divisors (43524727855200).

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

12707273066400 is a wasteful number, since it uses less digits than its factorization.

12707273066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 12707273066400 in words is "twelve trillion, seven hundred seven billion, two hundred seventy-three million, sixty-six thousand, four hundred".