12414323104000 has 288 divisors, whose sum is σ = 31485689988480. Its totient is φ = 4875994112000.

The previous prime is 12414323103997. The next prime is 12414323104129. The reversal of 12414323104000 is 40132341421.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1912540755 + ... + 1912547245.

It is an arithmetic number, because the mean of its divisors is an integer number (109325312460).

Almost surely, 2^{12414323104000} is an apocalyptic number.

12414323104000 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 12414323104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15742844994240).

12414323104000 is an abundant number, since it is smaller than the sum of its proper divisors (19071366884480).

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

12414323104000 is an equidigital number, since it uses as much as digits as its factorization.

12414323104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12414323104000 its reverse (40132341421), we get a palindrome (12454455445421).

The spelling of 12414323104000 in words is "twelve trillion, four hundred fourteen billion, three hundred twenty-three million, one hundred four thousand".