12025105440 has 192 divisors, whose sum is σ = 38358230400. Its totient is φ = 3166429184.

The previous prime is 12025105427. The next prime is 12025105447. The reversal of 12025105440 is 4450152021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12025105440.

It is not an unprimeable number, because it can be changed into a prime (12025105447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14863756 + ... + 14864564.

It is an arithmetic number, because the mean of its divisors is an integer number (199782450).

Almost surely, 2^12025105440 is an apocalyptic number.

12025105440 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 12025105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179115200).

12025105440 is an abundant number, since it is smaller than the sum of its proper divisors (26333124960).

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

12025105440 is a wasteful number, since it uses less digits than its factorization.

12025105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 12025105440 its reverse (4450152021), we get a palindrome (16475257461).

The spelling of 12025105440 in words is "twelve billion, twenty-five million, one hundred five thousand, four hundred forty".