2412230805000 has 240 divisors, whose sum is σ = 8169191521920. Its totient is φ = 642836208000.

The previous prime is 2412230804999. The next prime is 2412230805013. The reversal of 2412230805000 is 5080322142.

2412230805000 is a `hidden beast` number, since 2 + 4 + 122 + 30 + 8 + 0 + 500 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 71218069 + ... + 71251931.

It is an arithmetic number, because the mean of its divisors is an integer number (34038298008).

Almost surely, 2^{2412230805000} is an apocalyptic number.

2412230805000 is a gapful number since it is divisible by the number (20) 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 2412230805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084595760960).

2412230805000 is an abundant number, since it is smaller than the sum of its proper divisors (5756960716920).

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

2412230805000 is a wasteful number, since it uses less digits than its factorization.

2412230805000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35478 (or 35456 counting only the distinct ones).

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

The spelling of 2412230805000 in words is "two trillion, four hundred twelve billion, two hundred thirty million, eight hundred five thousand".