12705361228800 has 528 divisors, whose sum is σ = 47025353041920. Its totient is φ = 3361395179520.

The previous prime is 12705361228783. The next prime is 12705361228801. The reversal of 12705361228800 is 882216350721.

12705361228800 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 5 + 3 + 612 + 28 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×12705361228800² (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 (12705361228801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87710032 + ... + 87854768.

It is an arithmetic number, because the mean of its divisors is an integer number (89063168640).

Almost surely, 2^{12705361228800} is an apocalyptic number.

12705361228800 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 12705361228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23512676520960).

12705361228800 is an abundant number, since it is smaller than the sum of its proper divisors (34319991813120).

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

12705361228800 is a wasteful number, since it uses less digits than its factorization.

12705361228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144903 (or 144874 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12705361228800 in words is "twelve trillion, seven hundred five billion, three hundred sixty-one million, two hundred twenty-eight thousand, eight hundred".