12255441440 has 288 divisors, whose sum is σ = 35183756160. Its totient is φ = 4009533440.

The previous prime is 12255441433. The next prime is 12255441571. The reversal of 12255441440 is 4414455221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12255441397 and 12255441406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7568951 + ... + 7570569.

It is an arithmetic number, because the mean of its divisors is an integer number (122165820).

Almost surely, 2^12255441440 is an apocalyptic number.

12255441440 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 12255441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591878080).

12255441440 is an abundant number, since it is smaller than the sum of its proper divisors (22928314720).

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

12255441440 is a wasteful number, since it uses less digits than its factorization.

12255441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 12255441440 its reverse (4414455221), we get a palindrome (16669896661).

The spelling of 12255441440 in words is "twelve billion, two hundred fifty-five million, four hundred forty-one thousand, four hundred forty".