12459126400 has 96 divisors (see below), whose sum is σ = 35174846880. Its totient is φ = 4271692800.

The previous prime is 12459126397. The next prime is 12459126403. The reversal of 12459126400 is 462195421.

12459126400 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 (12459126397) and next prime (12459126403).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12459126403) 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 11 ways as a sum of consecutive naturals, for example, 255706 + ... + 300505.

It is an arithmetic number, because the mean of its divisors is an integer number (366404655).

Almost surely, 2^12459126400 is an apocalyptic number.

12459126400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12459126400 is an abundant number, since it is smaller than the sum of its proper divisors (22715720480).

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

12459126400 is an equidigital number, since it uses as much as digits as its factorization.

12459126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556242 (or 556225 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 12459126400 in words is "twelve billion, four hundred fifty-nine million, one hundred twenty-six thousand, four hundred".