12352112640 has 576 divisors, whose sum is σ = 50226583680. Its totient is φ = 2748579840.

The previous prime is 12352112623. The next prime is 12352112653. The reversal of 12352112640 is 4621125321.

12352112640 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 2 + 1 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26449687 + ... + 26450153.

It is an arithmetic number, because the mean of its divisors is an integer number (87198930).

Almost surely, 2^12352112640 is an apocalyptic number.

12352112640 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 12352112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25113291840).

12352112640 is an abundant number, since it is smaller than the sum of its proper divisors (37874471040).

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

12352112640 is a wasteful number, since it uses less digits than its factorization.

12352112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12352112640 its reverse (4621125321), we get a palindrome (16973237961).

It can be divided in two parts, 123521 and 12640, that added together give a square (136161 = 369²).

The spelling of 12352112640 in words is "twelve billion, three hundred fifty-two million, one hundred twelve thousand, six hundred forty".