12705733364400 has 480 divisors, whose sum is σ = 45476087121920. Its totient is φ = 3369268638720.

The previous prime is 12705733364339. The next prime is 12705733364413. The reversal of 12705733364400 is 446333750721.

12705733364400 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 573 + 3 + 36 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×12705733364400² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2690180439 + ... + 2690185161.

Almost surely, 2^{12705733364400} is an apocalyptic number.

12705733364400 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 12705733364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22738043560960).

12705733364400 is an abundant number, since it is smaller than the sum of its proper divisors (32770353757520).

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

12705733364400 is a wasteful number, since it uses less digits than its factorization.

12705733364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 6073 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 12705733364400 in words is "twelve trillion, seven hundred five billion, seven hundred thirty-three million, three hundred sixty-four thousand, four hundred".