12464071800800 has 144 divisors (see below), whose sum is σ = 31305115063152. Its totient is φ = 4843937894400.

The previous prime is 12464071800787. The next prime is 12464071800811. The reversal of 12464071800800 is 800817046421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320070 + ... + 5505530.

It is an arithmetic number, because the mean of its divisors is an integer number (217396632383).

Almost surely, 2^{12464071800800} is an apocalyptic number.

12464071800800 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 12464071800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652557531576).

12464071800800 is an abundant number, since it is smaller than the sum of its proper divisors (18841043262352).

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

12464071800800 is a wasteful number, since it uses less digits than its factorization.

12464071800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185621 (or 3185608 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 12464071800800 in words is "twelve trillion, four hundred sixty-four billion, seventy-one million, eight hundred thousand, eight hundred".