12255541133440 has 512 divisors, whose sum is σ = 34504015564800. Its totient is φ = 4112729702400.

The previous prime is 12255541133347. The next prime is 12255541133443. The reversal of 12255541133440 is 4433114555221.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12255541133393 and 12255541133402.

It is not an unprimeable number, because it can be changed into a prime (12255541133443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3043340707 + ... + 3043344733.

It is an arithmetic number, because the mean of its divisors is an integer number (67390655400).

Almost surely, 2^{12255541133440} is an apocalyptic number.

12255541133440 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 12255541133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252007782400).

12255541133440 is an abundant number, since it is smaller than the sum of its proper divisors (22248474431360).

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

12255541133440 is a wasteful number, since it uses less digits than its factorization.

12255541133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 12255541133440 its reverse (4433114555221), we get a palindrome (16688655688661).

The spelling of 12255541133440 in words is "twelve trillion, two hundred fifty-five billion, five hundred forty-one million, one hundred thirty-three thousand, four hundred forty".