12415201344 has 336 divisors, whose sum is σ = 45727315200. Its totient is φ = 3274048512.

The previous prime is 12415201343. The next prime is 12415201391. The reversal of 12415201344 is 44310251421.

12415201344 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 520 + 134 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12415201343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095097 + ... + 1106375.

It is an arithmetic number, because the mean of its divisors is an integer number (136093200).

Almost surely, 2^12415201344 is an apocalyptic number.

12415201344 is a gapful number since it is divisible by the number (14) 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 12415201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22863657600).

12415201344 is an abundant number, since it is smaller than the sum of its proper divisors (33312113856).

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

12415201344 is a wasteful number, since it uses less digits than its factorization.

12415201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12415201344 its reverse (44310251421), we get a palindrome (56725452765).

The spelling of 12415201344 in words is "twelve billion, four hundred fifteen million, two hundred one thousand, three hundred forty-four".