12511345440 has 192 divisors, whose sum is σ = 43051139712. Its totient is φ = 3028992000.

The previous prime is 12511345417. The next prime is 12511345453. The reversal of 12511345440 is 4454311521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12511345398 and 12511345407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6340294 + ... + 6342266.

It is an arithmetic number, because the mean of its divisors is an integer number (224224686).

Almost surely, 2^12511345440 is an apocalyptic number.

12511345440 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 12511345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21525569856).

12511345440 is an abundant number, since it is smaller than the sum of its proper divisors (30539794272).

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

12511345440 is a wasteful number, since it uses less digits than its factorization.

12511345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 12511345440 its reverse (4454311521), we get a palindrome (16965656961).

The spelling of 12511345440 in words is "twelve billion, five hundred eleven million, three hundred forty-five thousand, four hundred forty".