12245394240000 has 800 divisors, whose sum is σ = 45381098400000. Its totient is φ = 3259201536000.

The previous prime is 12245394239999. The next prime is 12245394240007. The reversal of 12245394240000 is 4249354221.

It is a happy number.

12245394240000 is a `hidden beast` number, since 1 + 2 + 24 + 5 + 394 + 240 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12245394240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6125759001 + ... + 6125760999.

It is an arithmetic number, because the mean of its divisors is an integer number (56726373000).

Almost surely, 2^{12245394240000} is an apocalyptic number.

12245394240000 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 12245394240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22690549200000).

12245394240000 is an abundant number, since it is smaller than the sum of its proper divisors (33135704160000).

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

12245394240000 is an frugal number, since it uses more digits than its factorization.

12245394240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12245394240000 in words is "twelve trillion, two hundred forty-five billion, three hundred ninety-four million, two hundred forty thousand".