12255335104320 has 2688 divisors, whose sum is σ = 58403983288320. Its totient is φ = 2383929999360.

The previous prime is 12255335104253. The next prime is 12255335104333. The reversal of 12255335104320 is 2340153355221.

12255335104320 is a `hidden beast` number, since 1 + 2 + 2 + 55 + 33 + 510 + 43 + 20 = 666.

12255335104320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 22404634287 + ... + 22404634833.

Almost surely, 2^{12255335104320} is an apocalyptic number.

12255335104320 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 12255335104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29201991644160).

12255335104320 is an abundant number, since it is smaller than the sum of its proper divisors (46148648184000).

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

12255335104320 is a wasteful number, since it uses less digits than its factorization.

12255335104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 12255335104320 its reverse (2340153355221), we get a palindrome (14595488459541).

The spelling of 12255335104320 in words is "twelve trillion, two hundred fifty-five billion, three hundred thirty-five million, one hundred four thousand, three hundred twenty".