12412419052320 has 1536 divisors, whose sum is σ = 54209046528000. Its totient is φ = 2588211118080.

The previous prime is 12412419052309. The next prime is 12412419052351. The reversal of 12412419052320 is 2325091421421.

12412419052320 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 2 + 41 + 90 + 523 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8381105980 + ... + 8381107460.

It is an arithmetic number, because the mean of its divisors is an integer number (35292348000).

Almost surely, 2^{12412419052320} is an apocalyptic number.

12412419052320 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 12412419052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27104523264000).

12412419052320 is an abundant number, since it is smaller than the sum of its proper divisors (41796627475680).

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

12412419052320 is a wasteful number, since it uses less digits than its factorization.

12412419052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12412419052320 in words is "twelve trillion, four hundred twelve billion, four hundred nineteen million, fifty-two thousand, three hundred twenty".