12412400000 has 768 divisors, whose sum is σ = 42837258240. Its totient is φ = 3456000000.

The previous prime is 12412399963. The next prime is 12412400003. The reversal of 12412400000 is 421421.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412400003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400399985 + ... + 400400015.

It is an arithmetic number, because the mean of its divisors is an integer number (55777680).

Almost surely, 2^12412400000 is an apocalyptic number.

12412400000 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 12412400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21418629120).

12412400000 is an abundant number, since it is smaller than the sum of its proper divisors (30424858240).

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

12412400000 is an equidigital number, since it uses as much as digits as its factorization.

12412400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12412400000 its reverse (421421), we get a palindrome (12412821421).

The spelling of 12412400000 in words is "twelve billion, four hundred twelve million, four hundred thousand".