12412209464928 has 384 divisors, whose sum is σ = 45106754595840. Its totient is φ = 3273548069376.

The previous prime is 12412209464911. The next prime is 12412209464933. The reversal of 12412209464928 is 82946490221421.

12412209464928 is a `hidden beast` number, since 1 + 2 + 41 + 2 + 20 + 94 + 6 + 492 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5394051 + ... + 7343037.

It is an arithmetic number, because the mean of its divisors is an integer number (117465506760).

Almost surely, 2^{12412209464928} is an apocalyptic number.

12412209464928 is a gapful number since it is divisible by the number (18) 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 12412209464928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22553377297920).

12412209464928 is an abundant number, since it is smaller than the sum of its proper divisors (32694545130912).

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

12412209464928 is an equidigital number, since it uses as much as digits as its factorization.

12412209464928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949038 (or 1949012 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 12412209464928 in words is "twelve trillion, four hundred twelve billion, two hundred nine million, four hundred sixty-four thousand, nine hundred twenty-eight".