12346023040 has 128 divisors (see below), whose sum is σ = 32144137200. Its totient is φ = 4507041792.

The previous prime is 12346023031. The next prime is 12346023049. The reversal of 12346023040 is 4032064321.

12346023040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12346023031) and next prime (12346023049).

It can be written as a sum of positive squares in 8 ways, for example, as 4097024064 + 8248998976 = 64008^2 + 90824^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12346022996 and 12346023014.

It is not an unprimeable number, because it can be changed into a prime (12346023049) 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 15 ways as a sum of consecutive naturals, for example, 732144 + ... + 748816.

Almost surely, 2^12346023040 is an apocalyptic number.

12346023040 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 12346023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16072068600).

12346023040 is an abundant number, since it is smaller than the sum of its proper divisors (19798114160).

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

12346023040 is a wasteful number, since it uses less digits than its factorization.

12346023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16794 (or 16782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 12346023040 its reverse (4032064321), we get a palindrome (16378087361).

The spelling of 12346023040 in words is "twelve billion, three hundred forty-six million, twenty-three thousand, forty".