12807066195 has 384 divisors, whose sum is σ = 31648942080. Its totient is φ = 4756561920.

The previous prime is 12807066187. The next prime is 12807066253. The reversal of 12807066195 is 59166070821.

12807066195 is a `hidden beast` number, since 1 + 28 + 0 + 7 + 0 + 6 + 619 + 5 = 666.

It is not a de Polignac number, because 12807066195 - 2³ = 12807066187 is a prime.

It is a super-2 number, since 2×12807066195² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12807066195.

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 383 ways as a sum of consecutive naturals, for example, 93482167 + ... + 93482303.

It is an arithmetic number, because the mean of its divisors is an integer number (82419120).

Almost surely, 2^12807066195 is an apocalyptic number.

12807066195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12807066195 is an abundant number, since it is smaller than the sum of its proper divisors (18841875885).

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

12807066195 is a wasteful number, since it uses less digits than its factorization.

12807066195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12807066195 in words is "twelve billion, eight hundred seven million, sixty-six thousand, one hundred ninety-five".