12210504768 has 168 divisors, whose sum is σ = 43635533760. Its totient is φ = 3171548160.

The previous prime is 12210504767. The next prime is 12210504773. The reversal of 12210504768 is 86740501221.

12210504768 is a `hidden beast` number, since 122 + 10 + 50 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12210504763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93303 + ... + 182006.

It is an arithmetic number, because the mean of its divisors is an integer number (259735320).

Almost surely, 2^12210504768 is an apocalyptic number.

12210504768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12210504768 is an abundant number, since it is smaller than the sum of its proper divisors (31425028992).

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

12210504768 is a wasteful number, since it uses less digits than its factorization.

12210504768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275345 (or 275332 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12210504768 in words is "twelve billion, two hundred ten million, five hundred four thousand, seven hundred sixty-eight".