12200764576005 has 144 divisors (see below), whose sum is σ = 21856051107072. Its totient is φ = 6295931136000.

The previous prime is 12200764575953. The next prime is 12200764576109. The reversal of 12200764576005 is 50067546700221.

12200764576005 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 76 + 4 + 576 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 12200764576005 - 2²⁵ = 12200731021573 is a prime.

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

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 143 ways as a sum of consecutive naturals, for example, 7592260912 + ... + 7592262518.

It is an arithmetic number, because the mean of its divisors is an integer number (151778132688).

Almost surely, 2^{12200764576005} is an apocalyptic number.

12200764576005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12200764576005 is a deficient number, since it is larger than the sum of its proper divisors (9655286531067).

12200764576005 is a wasteful number, since it uses less digits than its factorization.

12200764576005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 12200764576005 in words is "twelve trillion, two hundred billion, seven hundred sixty-four million, five hundred seventy-six thousand, five".