12427204240000 has 320 divisors, whose sum is σ = 33995854094400. Its totient is φ = 4485954560000.

The previous prime is 12427204239977. The next prime is 12427204240037. The reversal of 12427204240000 is 4240272421.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120508461 + ... + 120611539.

It is an arithmetic number, because the mean of its divisors is an integer number (106237044045).

Almost surely, 2^{12427204240000} is an apocalyptic number.

12427204240000 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 12427204240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997927047200).

12427204240000 is an abundant number, since it is smaller than the sum of its proper divisors (21568649854400).

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

12427204240000 is a wasteful number, since it uses less digits than its factorization.

12427204240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103261 (or 103234 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The spelling of 12427204240000 in words is "twelve trillion, four hundred twenty-seven billion, two hundred four million, two hundred forty thousand".