12400340420 has 48 divisors (see below), whose sum is σ = 28222562928. Its totient is φ = 4549409280.

The previous prime is 12400340383. The next prime is 12400340423. The reversal of 12400340420 is 2404300421.

12400340420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1614271684 + 10786068736 = 40178^2 + 103856^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12400340392 and 12400340401.

It is not an unprimeable number, because it can be changed into a prime (12400340423) 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, 111071 + ... + 192710.

It is an arithmetic number, because the mean of its divisors is an integer number (587970061).

Almost surely, 2^12400340420 is an apocalyptic number.

12400340420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400340420 is an abundant number, since it is smaller than the sum of its proper divisors (15822222508).

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

12400340420 is a wasteful number, since it uses less digits than its factorization.

12400340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303960 (or 303958 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12400340420 its reverse (2404300421), we get a palindrome (14804640841).

The spelling of 12400340420 in words is "twelve billion, four hundred million, three hundred forty thousand, four hundred twenty".