12340312400 has 90 divisors (see below), whose sum is σ = 32103790650. Its totient is φ = 4556398080.

The previous prime is 12340312381. The next prime is 12340312403. The reversal of 12340312400 is 421304321.

12340312400 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 9 ways, for example, as 6863128336 + 5477184064 = 82844^2 + 74008^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340312403) 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 17 ways as a sum of consecutive naturals, for example, 23675 + ... + 158874.

It is an arithmetic number, because the mean of its divisors is an integer number (356708785).

Almost surely, 2^12340312400 is an apocalyptic number.

12340312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340312400 is an abundant number, since it is smaller than the sum of its proper divisors (19763478250).

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

12340312400 is a wasteful number, since it uses less digits than its factorization.

12340312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182593 (or 182569 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12340312400 its reverse (421304321), we get a palindrome (12761616721).

The spelling of 12340312400 in words is "twelve billion, three hundred forty million, three hundred twelve thousand, four hundred".