12819006208008 has 384 divisors, whose sum is σ = 48663565776000. Its totient is φ = 3073487639040.

The previous prime is 12819006207979. The next prime is 12819006208009. The reversal of 12819006208008 is 80080260091821.

It is a happy number.

12819006208008 is a `hidden beast` number, since 1 + 2 + 8 + 19 + 0 + 0 + 620 + 8 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12819006208009) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2721343 + ... + 5748366.

It is an arithmetic number, because the mean of its divisors is an integer number (126728035875).

Almost surely, 2^{12819006208008} is an apocalyptic number.

12819006208008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12819006208008 is an abundant number, since it is smaller than the sum of its proper divisors (35844559567992).

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

12819006208008 is a wasteful number, since it uses less digits than its factorization.

12819006208008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8469762 (or 8469745 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

Adding to 12819006208008 its reverse (80080260091821), we get a palindrome (92899266299829).

The spelling of 12819006208008 in words is "twelve trillion, eight hundred nineteen billion, six million, two hundred eight thousand, eight".