12281727603600 has 2160 divisors, whose sum is σ = 54913151404800. Its totient is φ = 2485977661440.

The previous prime is 12281727603577. The next prime is 12281727603619. The reversal of 12281727603600 is 630672718221.

12281727603600 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 17 + 27 + 6 + 0 + 3 + 600 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34210940221 + ... + 34210940579.

It is an arithmetic number, because the mean of its divisors is an integer number (25422755280).

Almost surely, 2^{12281727603600} is an apocalyptic number.

12281727603600 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 12281727603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27456575702400).

12281727603600 is an abundant number, since it is smaller than the sum of its proper divisors (42631423801200).

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

12281727603600 is a wasteful number, since it uses less digits than its factorization.

12281727603600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12281727603600 in words is "twelve trillion, two hundred eighty-one billion, seven hundred twenty-seven million, six hundred three thousand, six hundred".