12284656350720 has 2560 divisors, whose sum is σ = 48894950522880. Its totient is φ = 2600132935680.

The previous prime is 12284656350719. The next prime is 12284656350781. The reversal of 12284656350720 is 2705365648221.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126645941712 + ... + 126645941808.

It is an arithmetic number, because the mean of its divisors is an integer number (19099590048).

Almost surely, 2^{12284656350720} is an apocalyptic number.

12284656350720 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 12284656350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24447475261440).

12284656350720 is an abundant number, since it is smaller than the sum of its proper divisors (36610294172160).

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

12284656350720 is a wasteful number, since it uses less digits than its factorization.

12284656350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 12284656350720 in words is "twelve trillion, two hundred eighty-four billion, six hundred fifty-six million, three hundred fifty thousand, seven hundred twenty".