12352201505280 has 3840 divisors, whose sum is σ = 58374583787520. Its totient is φ = 2432167575552.

The previous prime is 12352201505269. The next prime is 12352201505339. The reversal of 12352201505280 is 8250510225321.

12352201505280 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 220 + 150 + 5 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69006712231 + ... + 69006712409.

It is an arithmetic number, because the mean of its divisors is an integer number (15201714528).

Almost surely, 2^{12352201505280} is an apocalyptic number.

12352201505280 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 12352201505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29187291893760).

12352201505280 is an abundant number, since it is smaller than the sum of its proper divisors (46022382282240).

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

12352201505280 is a wasteful number, since it uses less digits than its factorization.

12352201505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 12352201505280 in words is "twelve trillion, three hundred fifty-two billion, two hundred one million, five hundred five thousand, two hundred eighty".