12701280556800 has 3240 divisors, whose sum is σ = 56129294401488. Its totient is φ = 2820361420800.

The previous prime is 12701280556781. The next prime is 12701280556823. The reversal of 12701280556800 is 865508210721.

12701280556800 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 1 + 2 + 80 + 5 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×12701280556800² (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 an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 45852998262 + ... + 45852998538.

Almost surely, 2^{12701280556800} is an apocalyptic number.

12701280556800 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 12701280556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28064647200744).

12701280556800 is an abundant number, since it is smaller than the sum of its proper divisors (43428013844688).

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

12701280556800 is a wasteful number, since it uses less digits than its factorization.

12701280556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 12701280556800 in words is "twelve trillion, seven hundred one billion, two hundred eighty million, five hundred fifty-six thousand, eight hundred".