12255145382880 has 192 divisors, whose sum is σ = 42921993441600. Its totient is φ = 3265830420480.

The previous prime is 12255145382839. The next prime is 12255145382891. The reversal of 12255145382880 is 8828354155221.

12255145382880 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 1 + 4 + 538 + 28 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5440176 + ... + 7355664.

It is an arithmetic number, because the mean of its divisors is an integer number (223552049175).

Almost surely, 2^{12255145382880} is an apocalyptic number.

12255145382880 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 12255145382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21460996720800).

12255145382880 is an abundant number, since it is smaller than the sum of its proper divisors (30666848058720).

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

12255145382880 is a wasteful number, since it uses less digits than its factorization.

12255145382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916994 (or 1916980 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

It can be divided in two parts, 12255145 and 382880, that added together give a square (12638025 = 3555²).

The spelling of 12255145382880 in words is "twelve trillion, two hundred fifty-five billion, one hundred forty-five million, three hundred eighty-two thousand, eight hundred eighty".